diff --git a/spring-data-jpa/src/main/antlr4/org/springframework/data/jpa/repository/query/Jpql.g4 b/spring-data-jpa/src/main/antlr4/org/springframework/data/jpa/repository/query/Jpql.g4
index 4ef52bfcf1..ac459545da 100644
--- a/spring-data-jpa/src/main/antlr4/org/springframework/data/jpa/repository/query/Jpql.g4
+++ b/spring-data-jpa/src/main/antlr4/org/springframework/data/jpa/repository/query/Jpql.g4
@@ -42,7 +42,13 @@ ql_statement
     ;
 
 select_statement
-    : select_clause from_clause (where_clause)? (groupby_clause)? (having_clause)? (orderby_clause)?
+    : select_clause from_clause (where_clause)? (groupby_clause)? (having_clause)? (orderby_clause)? (setOperator_with_select_statement)*
+    ;
+
+setOperator_with_select_statement
+    : INTERSECT select_statement
+    | UNION select_statement
+    | EXCEPT select_statement
     ;
 
 update_statement
@@ -785,6 +791,7 @@ ELSE                        : E L S E;
 EMPTY                       : E M P T Y;
 ENTRY                       : E N T R Y;
 ESCAPE                      : E S C A P E;
+EXCEPT                      : E X C E P T;
 EXISTS                      : E X I S T S;
 EXP                         : E X P;
 EXTRACT                     : E X T R A C T;
@@ -798,6 +805,7 @@ HAVING                      : H A V I N G;
 IN                          : I N;
 INDEX                       : I N D E X;
 INNER                       : I N N E R;
+INTERSECT                   : I N T E R S E C T;
 IS                          : I S;
 JOIN                        : J O I N;
 KEY                         : K E Y;
@@ -840,6 +848,7 @@ TREAT                       : T R E A T;
 TRIM                        : T R I M;
 TRUE                        : T R U E;
 TYPE                        : T Y P E;
+UNION                       : U N I O N;
 UPDATE                      : U P D A T E;
 UPPER                       : U P P E R;
 VALUE                       : V A L U E;
diff --git a/spring-data-jpa/src/main/java/org/springframework/data/jpa/repository/query/JpqlQueryRenderer.java b/spring-data-jpa/src/main/java/org/springframework/data/jpa/repository/query/JpqlQueryRenderer.java
index e310f70d2a..b955b23c3d 100644
--- a/spring-data-jpa/src/main/java/org/springframework/data/jpa/repository/query/JpqlQueryRenderer.java
+++ b/spring-data-jpa/src/main/java/org/springframework/data/jpa/repository/query/JpqlQueryRenderer.java
@@ -71,6 +71,29 @@ public List<JpaQueryParsingToken> visitSelect_statement(JpqlParser.Select_statem
 			tokens.addAll(visit(ctx.orderby_clause()));
 		}
 
+		ctx.setOperator_with_select_statement().forEach(setOperatorWithSelectStatementContext -> {
+			tokens.addAll(visit(setOperatorWithSelectStatementContext));
+		});
+
+		return tokens;
+	}
+
+	@Override
+	public List<JpaQueryParsingToken> visitSetOperator_with_select_statement(
+			JpqlParser.SetOperator_with_select_statementContext ctx) {
+
+		List<JpaQueryParsingToken> tokens = new ArrayList<>();
+
+		if (ctx.INTERSECT() != null) {
+			tokens.add(new JpaQueryParsingToken(ctx.INTERSECT()));
+		} else if (ctx.UNION() != null) {
+			tokens.add(new JpaQueryParsingToken(ctx.UNION()));
+		} else if (ctx.EXCEPT() != null) {
+			tokens.add(new JpaQueryParsingToken(ctx.EXCEPT()));
+		}
+
+		tokens.addAll(visit(ctx.select_statement()));
+
 		return tokens;
 	}
 
diff --git a/spring-data-jpa/src/main/java/org/springframework/data/jpa/repository/query/JpqlQueryTransformer.java b/spring-data-jpa/src/main/java/org/springframework/data/jpa/repository/query/JpqlQueryTransformer.java
index a9aeec36af..5cb30b6e5c 100644
--- a/spring-data-jpa/src/main/java/org/springframework/data/jpa/repository/query/JpqlQueryTransformer.java
+++ b/spring-data-jpa/src/main/java/org/springframework/data/jpa/repository/query/JpqlQueryTransformer.java
@@ -125,6 +125,10 @@ public List<JpaQueryParsingToken> visitSelect_statement(JpqlParser.Select_statem
 			}
 		}
 
+		ctx.setOperator_with_select_statement().forEach(setOperatorWithSelectStatementContext -> {
+			tokens.addAll(visit(setOperatorWithSelectStatementContext));
+		});
+
 		return tokens;
 	}
 
diff --git a/spring-data-jpa/src/test/java/org/springframework/data/jpa/repository/query/HqlQueryRendererTests.java b/spring-data-jpa/src/test/java/org/springframework/data/jpa/repository/query/HqlQueryRendererTests.java
index e2cc7e5105..76cc9d23f5 100644
--- a/spring-data-jpa/src/test/java/org/springframework/data/jpa/repository/query/HqlQueryRendererTests.java
+++ b/spring-data-jpa/src/test/java/org/springframework/data/jpa/repository/query/HqlQueryRendererTests.java
@@ -1610,4 +1610,17 @@ void doublePipeShouldBeValidAsAStringConcatOperator() {
 				""");
 	}
 
+	@Test // GH-3136
+	void combinedSelectStatementsShouldWork() {
+
+		assertQuery("""
+				select e from Employee e where e.last_name = 'Baggins'
+				intersect
+				select e from Employee e where e.first_name = 'Samwise'
+				union
+				select e from Employee e where e.home = 'The Shire'
+				except
+				select e from Employee e where e.home = 'Isengard'
+				""");
+	}
 }
diff --git a/spring-data-jpa/src/test/java/org/springframework/data/jpa/repository/query/JpqlQueryRendererTests.java b/spring-data-jpa/src/test/java/org/springframework/data/jpa/repository/query/JpqlQueryRendererTests.java
index 1eedc0b9da..142f25b542 100644
--- a/spring-data-jpa/src/test/java/org/springframework/data/jpa/repository/query/JpqlQueryRendererTests.java
+++ b/spring-data-jpa/src/test/java/org/springframework/data/jpa/repository/query/JpqlQueryRendererTests.java
@@ -992,4 +992,32 @@ void doublePipeShouldBeValidAsAStringConcatOperator() {
 				from Employee e
 				""");
 	}
+
+	@Test // GH-3136
+	void combinedSelectStatementsShouldWork() {
+
+		assertQuery("""
+				select e from Employee e where e.last_name = 'Baggins'
+				intersect
+				select e from Employee e where e.first_name = 'Samwise'
+				union
+				select e from Employee e where e.home = 'The Shire'
+				except
+				select e from Employee e where e.home = 'Isengard'
+				""");
+	}
+
+	@Disabled
+	@Test // GH-3136
+	void additionalStringOperationShouldWork() {
+
+		assertQuery("""
+				select 
+					replace(e.name, 'Baggins', 'Proudfeet'),
+					left(e.role, 4),
+					right(e.home, 5),
+					cast(e.distance_from_home, int)
+				from Employee e
+				""");
+	}
 }