diff --git a/application/src/Controller/Admin/ResourceTemplateController.php b/application/src/Controller/Admin/ResourceTemplateController.php
index d02c31a46f..8050bb9198 100644
--- a/application/src/Controller/Admin/ResourceTemplateController.php
+++ b/application/src/Controller/Admin/ResourceTemplateController.php
@@ -79,12 +79,12 @@ public function importAction()
                     }
                 } else {
                     // Process review import form.
-                    $import = json_decode($this->params()->fromPost('import'), true);
-                    $dataTypes = $this->params()->fromPost('data_types', []);
+                    $import = json_decode($form->getData()['import'], true);
+                    $dataTypes = $this->params()->fromPost('data_types');
 
                     $import['o:label'] = $this->params()->fromPost('label');
-                    foreach ($dataTypes as $key => $dataType) {
-                        $import['o:resource_template_property'][$key]['o:data_type'] = $dataType;
+                    foreach ($dataTypes as $key => $dataTypeList) {
+                        $import['o:resource_template_property'][$key]['o:data_type'] = $dataTypeList;
                     }
 
                     $response = $this->api($form)->create('resource_templates', $import);
@@ -121,6 +121,8 @@ public function importAction()
      * the property. By design, the API will only hydrate members and data types
      * that are flagged as valid.
      *
+     * @todo Manage direct import of data types from Value Suggest and other modules.
+     *
      * @param array $import
      * @return array
      */
@@ -187,8 +189,25 @@ protected function flagValid(array $import)
                 ])->getContent();
                 if ($prop) {
                     $import['o:resource_template_property'][$key]['o:property'] = ['o:id' => $prop->id()];
-                    if (in_array($import['o:resource_template_property'][$key]['data_type_name'], $dataTypes)) {
-                        $import['o:resource_template_property'][$key]['o:data_type'] = $import['o:resource_template_property'][$key]['data_type_name'];
+                    // Check the deprecated "data_type_name" if needed and
+                    // normalize it.
+                    if (!array_key_exists('data_types', $import['o:resource_template_property'][$key])) {
+                        $import['o:resource_template_property'][$key]['data_types'] = [[
+                            'name' => $import['o:resource_template_property'][$key]['data_type_name'],
+                            'label' => $import['o:resource_template_property'][$key]['data_type_label'],
+                        ]];
+                    }
+                    $importDataTypes = [];
+                    foreach ($import['o:resource_template_property'][$key]['data_types'] as $dataType) {
+                        $importDataTypes[$dataType['name']] = $dataType;
+                    }
+                    $import['o:resource_template_property'][$key]['data_types'] = $importDataTypes;
+                    // Prepare the list of standard data types.
+                    $import['o:resource_template_property'][$key]['o:data_type'] = [];
+                    foreach ($importDataTypes as $name => $importDataType) {
+                        if (in_array($name, $dataTypes)) {
+                            $import['o:resource_template_property'][$key]['o:data_type'][] = $importDataType['name'];
+                        }
                     }
                 }
             }
@@ -276,6 +295,11 @@ protected function importIsValid($import)
                 // invalid o:resource_template_property format
                 return false;
             }
+
+            // Manage import from an export of Omeka < 3.0.
+            $oldExport = !array_key_exists('data_types', $property);
+
+            // Check missing o:resource_template_property info.
             if (!array_key_exists('vocabulary_namespace_uri', $property)
                 || !array_key_exists('vocabulary_label', $property)
                 || !array_key_exists('local_name', $property)
@@ -284,12 +308,17 @@ protected function importIsValid($import)
                 || !array_key_exists('o:alternate_comment', $property)
                 || !array_key_exists('o:is_required', $property)
                 || !array_key_exists('o:is_private', $property)
-                || !array_key_exists('data_type_name', $property)
-                || !array_key_exists('data_type_label', $property)
             ) {
-                // missing o:resource_template_property info
                 return false;
             }
+            if ($oldExport
+                 && (!array_key_exists('data_type_name', $property)
+                    || !array_key_exists('data_type_label', $property)
+            )) {
+                return false;
+            }
+
+            // Check invalid o:resource_template_property info.
             if (!is_string($property['vocabulary_namespace_uri'])
                 || !is_string($property['vocabulary_label'])
                 || !is_string($property['local_name'])
@@ -298,10 +327,16 @@ protected function importIsValid($import)
                 || (!is_string($property['o:alternate_comment']) && !is_null($property['o:alternate_comment']))
                 || !is_bool($property['o:is_required'])
                 || !is_bool($property['o:is_private'])
-                || (!is_string($property['data_type_name']) && !is_null($property['data_type_name']))
-                || (!is_string($property['data_type_label']) && !is_null($property['data_type_label']))
             ) {
-                // invalid o:resource_template_property info
+                return false;
+            }
+            if ($oldExport) {
+                if ((!is_string($property['data_type_name']) && !is_null($property['data_type_name']))
+                    || (!is_string($property['data_type_label']) && !is_null($property['data_type_label']))
+                ) {
+                    return false;
+                }
+            } elseif (!is_array($property['data_types']) && !is_null($property['data_types'])) {
                 return false;
             }
         }
diff --git a/application/view/omeka/admin/resource-template/review-import.phtml b/application/view/omeka/admin/resource-template/review-import.phtml
index ab500db3a7..e0660a09dc 100644
--- a/application/view/omeka/admin/resource-template/review-import.phtml
+++ b/application/view/omeka/admin/resource-template/review-import.phtml
@@ -6,6 +6,11 @@ $form->prepare();
 $this->htmlElement('body')->appendAttribute('class', 'resource-templates review');
 echo $this->pageTitle($import['o:label'], 1, $translate('Resource templates'), $translate('Review'));
 ?>
+
+<style>
+#properties .data-types .tablesaw-cell-content { display: block; }
+</style>
+
 <?php echo $this->form()->openTag($form); ?>
 <div id="page-actions">
     <button><?php echo $translate('Complete import'); ?></button>
@@ -55,12 +60,11 @@ if (!$hasVocab) {
         <?php endif; ?>
     <?php endif; ?>
 <?php endforeach; ?>
-
 <table id="properties" class="tablesaw" data-tablesaw-mode="stack">
 <thead>
     <tr>
         <th><?php echo $translate('Original label'); ?></th>
-        <th><?php echo $translate('Data type'); ?></th>
+        <th><?php echo $translate('Data types'); ?></th>
         <th><?php echo $translate('Alternate label'); ?></th>
         <th><?php echo $translate('Alternate comment'); ?></th>
         <th><?php echo $translate('Required?'); ?></th>
@@ -77,33 +81,39 @@ if (!$hasVocab) {
 } elseif (!$hasProperty) {
     $errorText = sprintf('Unknown property "%s" in vocabulary "%s": %s:%s', $property['label'], $property['vocabulary_label'], $property['vocabulary_prefix'], $property['local_name']);
 }
-// Set the data type
-if (is_null($property['data_type_name'])) {
-    $dataType = 'Default';
-} elseif (in_array($property['data_type_name'], ['literal', 'uri', 'resource'])) {
-    $dataType = $this->escapeHtml($property['data_type_label']);
-} elseif ($hasProperty) {
-    $dataTypeSelect = $this->dataType()->getSelect(
-        sprintf('data_types[%s]', $key),
-        isset($property['o:data_type']) ? $property['o:data_type'] : null,
-        ['style' => 'width:100%;', 'class' => 'chosen-select']
-    );
-    $dataType = sprintf('%s<br>%s', $this->escapeHtml($property['data_type_label']), $dataTypeSelect);
+// Prepare the data types (display the labels, then the select if needed).
+if ($hasProperty) {
+    if (empty($property['data_types'])):
+        $dataTypes = $translate('Default');
+    else:
+        $dataTypes = '<ul>';
+        foreach ($property['data_types'] as $dataType):
+            $dataTypes .= '<li>' . (isset($dataType['label']) ? $translate($dataType['label']) : $dataType['name']) . '</li>';
+        endforeach;
+        $dataTypes .= '</ul>';
+        if (count($property['data_types']) !== count($property['o:data_type'])):
+            $dataTypes .= $this->dataType()->getSelect(
+                sprintf('data_types[%s]', $key),
+                isset($property['o:data_type']) ? $property['o:data_type'] : null,
+                ['style' => 'width:100%;', 'class' => 'chosen-select', 'multiple' => 'multiple', 'data-placeholder' => $translate('Select data types…')]
+            );
+        endif;
+    endif;
 } else {
-    $dataType = $property['data_type_label'];
+    $dataTypes = $property['data_type_label'];
 }
 ?>
     <tr style="background-color:#<?php echo $hasProperty ? 'cdffcd;' : 'ffe6e6'; ?>">
-        <td><?php echo $this->escapeHtml($property['label']); ?></td>
-        <td><?php echo $dataType; ?></td>
-        <td><?php echo $this->escapeHtml($property['o:alternate_label']); ?></td>
-        <td><?php echo $this->escapeHtml($property['o:alternate_comment']); ?></td>
+        <td><?php echo $escape($property['label']); ?></td>
+        <td class="data-types"><?php echo $dataTypes; ?></td>
+        <td><?php echo $escape($property['o:alternate_label']); ?></td>
+        <td><?php echo $escape($property['o:alternate_comment']); ?></td>
         <td><?php echo $property['o:is_required'] ?  $translate('Yes') : $translate('No'); ?></td>
         <td><?php echo $property['o:is_private'] ? $translate('Yes') : $translate('No'); ?></td>
     </tr>
     <?php if (!$hasProperty): ?>
     <tr>
-        <td colspan="5" style="background-color:#ffe6e6; color:red;"><?php echo $this->escapeHtml($errorText); ?></td>
+        <td colspan="5" style="background-color:#ffe6e6; color:red;"><?php echo $escape($errorText); ?></td>
     </tr>
     <?php endif; ?>
 <?php endforeach; ?>