Use addJavascriptInterface() to add a Java object to the Javascript environment. Have your Javascript call a method on that Java object to supply its "return value".
Here's what I came up with today. It's thread-safe, reasonably efficient, and allows for synchronous Javascript execution from Java for an Android WebView.
Works in Android 2.2 and up. (Requires commons-lang because I need my code snippets passed to eval() as a Javascript string. You could remove this dependency by wrapping the code not in quotation marks, but in function(){})
On API 19+, the best way to do this is to call evaluateJavascript on your WebView:
webView.evaluateJavascript("foo.bar()", new ValueCallback<String>() {
@Override public void onReceiveValue(String value) {
// value is the result returned by the Javascript as JSON
}
});