diff --git a/packages/html2/src/html.ts b/packages/html2/src/html.ts
index dc14a4d..686a218 100644
--- a/packages/html2/src/html.ts
+++ b/packages/html2/src/html.ts
@@ -308,17 +308,17 @@ export type HtmlTemplater =
     => ChildNode[];
 
 export function template(): HtmlTemplater {
-    let instance: HtmlFragmentInstance | null = null;
+    let cache: null | { instance: HtmlFragmentInstance, builder: HtmlFragmentBuilder } = null;
     return (constantParts, ... variableParts) => {
         let b = templateCache.get(constantParts);
         if (b === void 0) {
             b = new HtmlFragmentBuilder(constantParts);
             templateCache.set(constantParts, b);
         }
-        if (instance === null) {
-            instance = b.clone();
+        if (cache === null || cache.builder !== b) {
+            cache = { instance: b.clone(), builder: b };
         }
-        b.update(instance, variableParts);
-        return instance.container;
+        b.update(cache.instance, variableParts);
+        return cache.instance.container;
     };
 }
diff --git a/packages/html2/test/html.test.ts b/packages/html2/test/html.test.ts
index 6a85c50..c7c8921 100644
--- a/packages/html2/test/html.test.ts
+++ b/packages/html2/test/html.test.ts
@@ -1,7 +1,7 @@
 /// SPDX-License-Identifier: GPL-3.0-or-later
 /// SPDX-FileCopyrightText: Copyright © 2024 Tony Garnock-Jones <tonyg@leastfixedpoint.com>
 
-import { template } from '../src/html';
+import { HtmlTemplater, template } from '../src/html';
 import './test-utils';
 
 function compareHTML(nodes: ChildNode[], expected: string) {
@@ -89,6 +89,18 @@ describe('basic templating', () => {
         compareHTML(t`<q><x t="${v()}">${ps.map(p => p())}</x></q>`, expected);
     });
 
+    it('should be callable multiple times with the same syntactic location', () => {
+        // Because the fixed portion of a template string, the TemplateStringsArray, is hashconsed
+        const v = () => 'aaa';
+        const ps = [() => '123', () => '234', () => '345'];
+        const expected = '<q><x t="aaa">123234345</x></q>';
+        const t = template();
+        const f = () => compareHTML(t`<q><x t="${v()}">${ps.map(p => p())}</x></q>`, expected);
+        f();
+        f();
+        f();
+    });
+
     it('should be callable multiple times with extra items', () => {
         const v = () => 'aaa';
         const t = template();
@@ -99,4 +111,16 @@ describe('basic templating', () => {
         ps.push(() => '3');
         compareHTML(t`<q><x t="${v()}">${ps.map(p => p())}</x></q>`, '<q><x t="aaa">123</x></q>');
     });
+
+    it('should be reusable for supplying arguments to itself', () => {
+        const inner = (t: HtmlTemplater) => t`<i>middle</i>`;
+        const t = template();
+        compareHTML(t`<p>n${inner(t)}n</p>`, '<p>n<i>middle</i>n</p>');
+    });
+
+    it('should accept strings', () => {
+        const inner = (_t: HtmlTemplater) => `<i>middle</i>`;
+        const t = template();
+        compareHTML(t`<p>n${inner(t)}n</p>`, '<p>n&lt;i&gt;middle&lt;/i&gt;n</p>');
+    });
 });