diff --git a/test/language/module-code/export-expname-from-as-unpaired-surrogate.js b/test/language/module-code/export-expname-from-as-unpaired-surrogate.js
new file mode 100644
index 0000000000..3519476bc0
--- /dev/null
+++ b/test/language/module-code/export-expname-from-as-unpaired-surrogate.js
@@ -0,0 +1,21 @@
+// Copyright (C) 2020 the V8 project authors. All rights reserved.
+// This code is governed by the BSD license found in the LICENSE file.
+/*---
+description: >
+  ExportSpecifier : ModuleExportName
+  esid: prod-ExportSpecifier
+info: |
+  ModuleExportName : StringLiteral
+
+  It is a Syntax Error if IsStringWellFormedUnicode of the StringValue of
+  StringLiteral is *false*.
+flags: [module]
+features: [arbitrary-module-namespace-names]
+negative:
+  phase: parse
+  type: SyntaxError
+---*/
+
+$DONOTEVALUATE();
+
+export { "☿" as "\uD83D" } from "./export-expname_FIXTURE.js";
diff --git a/test/language/module-code/export-expname-from-star-unpaired-surrogate.js b/test/language/module-code/export-expname-from-star-unpaired-surrogate.js
new file mode 100644
index 0000000000..185aff6577
--- /dev/null
+++ b/test/language/module-code/export-expname-from-star-unpaired-surrogate.js
@@ -0,0 +1,21 @@
+// Copyright (C) 2020 the V8 project authors. All rights reserved.
+// This code is governed by the BSD license found in the LICENSE file.
+/*---
+description: >
+  ExportSpecifier : ModuleExportName
+  esid: prod-ExportSpecifier
+info: |
+  ModuleExportName : StringLiteral
+
+  It is a Syntax Error if IsStringWellFormedUnicode of the StringValue of
+  StringLiteral is *false*.
+flags: [module]
+features: [arbitrary-module-namespace-names]
+negative:
+  phase: parse
+  type: SyntaxError
+---*/
+
+$DONOTEVALUATE();
+
+export "*" as "\uD83D" from "./export-expname_FIXTURE.js";
diff --git a/test/language/module-code/export-expname-from-unpaired-surrogate.js b/test/language/module-code/export-expname-from-unpaired-surrogate.js
new file mode 100644
index 0000000000..bb84e7e5c2
--- /dev/null
+++ b/test/language/module-code/export-expname-from-unpaired-surrogate.js
@@ -0,0 +1,21 @@
+// Copyright (C) 2020 the V8 project authors. All rights reserved.
+// This code is governed by the BSD license found in the LICENSE file.
+/*---
+description: >
+  ExportSpecifier : ModuleExportName
+  esid: prod-ExportSpecifier
+info: |
+  ModuleExportName : StringLiteral
+
+  It is a Syntax Error if IsStringWellFormedUnicode of the StringValue of
+  StringLiteral is *false*.
+flags: [module]
+features: [arbitrary-module-namespace-names]
+negative:
+  phase: parse
+  type: SyntaxError
+---*/
+
+$DONOTEVALUATE();
+
+export { "\uD83D" } from "./export-expname_FIXTURE.js";
diff --git a/test/language/module-code/export-expname-import-unpaired-surrogate.js b/test/language/module-code/export-expname-import-unpaired-surrogate.js
new file mode 100644
index 0000000000..e62b52082d
--- /dev/null
+++ b/test/language/module-code/export-expname-import-unpaired-surrogate.js
@@ -0,0 +1,21 @@
+// Copyright (C) 2020 the V8 project authors. All rights reserved.
+// This code is governed by the BSD license found in the LICENSE file.
+/*---
+description: >
+  ExportSpecifier : ModuleExportName
+  esid: prod-ExportSpecifier
+info: |
+  ModuleExportName : StringLiteral
+
+  It is a Syntax Error if IsStringWellFormedUnicode of the StringValue of
+  StringLiteral is *false*.
+flags: [module]
+features: [arbitrary-module-namespace-names]
+negative:
+  phase: parse
+  type: SyntaxError
+---*/
+
+$DONOTEVALUATE();
+
+import { "\uD83D" as foo } from "./export-expname_FIXTURE.js";
diff --git a/test/language/module-code/export-expname-string-binding.js b/test/language/module-code/export-expname-string-binding.js
new file mode 100644
index 0000000000..b2c02cd095
--- /dev/null
+++ b/test/language/module-code/export-expname-string-binding.js
@@ -0,0 +1,24 @@
+// Copyright (C) 2020 the V8 project authors. All rights reserved.
+// This code is governed by the BSD license found in the LICENSE file.
+/*---
+description: >
+  ExportDeclaration : `export` NamedExports `;`
+  esid: sec-exports-static-semantics-early-errors
+info: |
+  ExportDeclaration : `export` NamedExports `;`
+
+  It is a Syntax Error if ReferencedBindings of |NamedExports| contains any
+  |ModuleExportName|.
+flags: [module]
+features: [arbitrary-module-namespace-names]
+negative:
+  phase: parse
+  type: SyntaxError
+---*/
+
+export { "foo" as "bar" }
+
+function foo() {}
+
+$DONOTEVALUATE();
+
diff --git a/test/language/module-code/export-expname-unpaired-surrogate.js b/test/language/module-code/export-expname-unpaired-surrogate.js
new file mode 100644
index 0000000000..89507b65c9
--- /dev/null
+++ b/test/language/module-code/export-expname-unpaired-surrogate.js
@@ -0,0 +1,23 @@
+// Copyright (C) 2020 the V8 project authors. All rights reserved.
+// This code is governed by the BSD license found in the LICENSE file.
+/*---
+description: >
+  ExportSpecifier : ModuleExportName
+  esid: prod-ExportSpecifier
+info: |
+  ModuleExportName : StringLiteral
+
+  It is a Syntax Error if IsStringWellFormedUnicode of the StringValue of
+  StringLiteral is *false*.
+flags: [module]
+features: [arbitrary-module-namespace-names]
+negative:
+  phase: parse
+  type: SyntaxError
+---*/
+
+export { Foo as "\uD83D" }
+
+function Foo() {}
+
+$DONOTEVALUATE();