diff --git a/compiler/src/dotty/tools/dotc/interactive/Completion.scala b/compiler/src/dotty/tools/dotc/interactive/Completion.scala
index 79c4f52fb0ba..c5de3024fcd2 100644
--- a/compiler/src/dotty/tools/dotc/interactive/Completion.scala
+++ b/compiler/src/dotty/tools/dotc/interactive/Completion.scala
@@ -263,8 +263,12 @@ object Completion {
      */
     private def accessibleMembers(site: Type)(using Context): Seq[Symbol] = site match {
       case site: NamedType if site.symbol.is(Package) =>
-        // Don't look inside package members -- it's too expensive.
-        site.decls.toList.filter(sym => sym.isAccessibleFrom(site, superAccess = false))
+        extension (tpe: Type)
+          def accessibleSymbols = tpe.decls.toList.filter(sym => sym.isAccessibleFrom(site, superAccess = false))
+
+        val packageDecls = site.accessibleSymbols
+        val packageObjectsDecls = packageDecls.filter(_.isPackageObject).flatMap(_.thisType.accessibleSymbols)
+        packageDecls ++ packageObjectsDecls
       case _ =>
         def appendMemberSyms(name: Name, buf: mutable.Buffer[SingleDenotation]): Unit =
           try buf ++= site.member(name).alternatives
diff --git a/compiler/src/dotty/tools/dotc/interactive/Interactive.scala b/compiler/src/dotty/tools/dotc/interactive/Interactive.scala
index 81abc54666b8..a54b24fe62cc 100644
--- a/compiler/src/dotty/tools/dotc/interactive/Interactive.scala
+++ b/compiler/src/dotty/tools/dotc/interactive/Interactive.scala
@@ -277,7 +277,7 @@ object Interactive {
 
   def contextOfPath(path: List[Tree])(using Context): Context = path match {
     case Nil | _ :: Nil =>
-      ctx.run.runContext.fresh.setCompilationUnit(ctx.compilationUnit)
+      ctx.fresh
     case nested :: encl :: rest =>
       val outer = contextOfPath(encl :: rest)
       try encl match {
diff --git a/compiler/src/dotty/tools/dotc/interactive/InteractiveDriver.scala b/compiler/src/dotty/tools/dotc/interactive/InteractiveDriver.scala
index f117d483c809..e0b08ab1f3ee 100644
--- a/compiler/src/dotty/tools/dotc/interactive/InteractiveDriver.scala
+++ b/compiler/src/dotty/tools/dotc/interactive/InteractiveDriver.scala
@@ -143,13 +143,15 @@ class InteractiveDriver(val settings: List[String]) extends Driver {
   def run(uri: URI, sourceCode: String): List[Diagnostic] = run(uri, toSource(uri, sourceCode))
 
   def run(uri: URI, source: SourceFile): List[Diagnostic] = {
+    import typer.ImportInfo._
+
     val previousCtx = myCtx
     try {
       val reporter =
         new StoreReporter(null) with UniqueMessagePositions with HideNonSensicalMessages
 
       val run = compiler.newRun(using myInitCtx.fresh.setReporter(reporter))
-      myCtx = run.runContext
+      myCtx = run.runContext.withRootImports
 
       given Context = myCtx
 
diff --git a/language-server/test/dotty/tools/languageserver/CompletionTest.scala b/language-server/test/dotty/tools/languageserver/CompletionTest.scala
index e16df58a7527..a6d9246a7bee 100644
--- a/language-server/test/dotty/tools/languageserver/CompletionTest.scala
+++ b/language-server/test/dotty/tools/languageserver/CompletionTest.scala
@@ -10,10 +10,44 @@ import dotty.tools.languageserver.util.actions.CodeCompletion
 class CompletionTest {
 
   @Test def completion0: Unit = {
-    code"class Foo { val xyz: Int = 0; def y: Int = xy$m1 }".withSource
+    code"class Foo { val xyz: Int = 0; def y: Int = xy${m1} }".withSource
       .completion(m1, Set(("xyz", Field, "Int")))
   }
 
+  @Test def completionFromScalaPredef: Unit = {
+    code"class Foo { def foo: Unit = prin${m1} }".withSource
+      .completion(m1, Set(
+        ("print", Method, "(x: Any): Unit"),
+        ("printf", Method, "(text: String, xs: Any*): Unit"),
+        ("println", Method, "(x: Any): Unit")
+      ))
+  }
+
+  @Test def completionFromDottyPredef: Unit = {
+    code"class Foo { val foo = summ${m1} }".withSource
+      .completion(m1, Set(("summon", Method, "[T](using x: T): x.type")))
+  }
+
+  @Test def completionFromScalaPackage: Unit = {
+    code"class Foo { val foo: Conv${m1} }".withSource
+      .completion(m1, Set(("Conversion", Class, "scala.Conversion")))
+  }
+
+  @Test def completionFromScalaPackageObject: Unit = {
+    code"class Foo { val foo: BigD${m1} }".withSource
+      .completion(m1, Set(("BigDecimal", Field, "type and getter BigDecimal")))
+  }
+
+  @Test def completionFromSyntheticPackageObject: Unit = {
+    code"class Foo { val foo: IArr${m1} }".withSource
+      .completion(m1, Set(("IArray", Field, "type and object IArray")))
+  }
+
+  @Test def completionFromJavaDefaults: Unit = {
+    code"class Foo { val foo: Runn${m1} }".withSource
+      .completion(m1, Set(("Runnable", Class, "trait and object Runnable")))
+  }
+
   @Test def completionWithImplicitConversion: Unit = {
     withSources(
       code"object Foo { implicit class WithBaz(bar: Bar) { def baz = 0 } }",
@@ -29,7 +63,7 @@ class CompletionTest {
     ).completion(m1, Set(("MyClass", Class, "Foo.MyClass")))
   }
 
-  @Test def ImportCompleteClassNoPrefix: Unit = {
+  @Test def importCompleteClassNoPrefix: Unit = {
     withSources(
       code"""object Foo { class MyClass }""",
       code"""import Foo.${m1}"""