angular ng-bind-html and directive within it

I was also facing this problem and after hours searching the internet I read @Chandermani's comment, which proved to be the solution. You need to call a 'compile' directive with this pattern:

HTML:

<div compile="details"></div>

JS:

.directive('compile', ['$compile', function ($compile) {
    return function(scope, element, attrs) {
        scope.$watch(
            function(scope) {
                // watch the 'compile' expression for changes
                return scope.$eval(attrs.compile);
            },
            function(value) {
                // when the 'compile' expression changes
                // assign it into the current DOM
                element.html(value);

                // compile the new DOM and link it to the current
                // scope.
                // NOTE: we only compile .childNodes so that
                // we don't get into infinite loop compiling ourselves
                $compile(element.contents())(scope);
            }
        );
    };
}])

You can see a working fiddle of it here

Thanks for the great answer vkammerer. One optimization I would recommend is un-watching after the compilation runs once. The $eval within the watch expression could have performance implications.

    angular.module('vkApp')
  .directive('compile', ['$compile', function ($compile) {
      return function(scope, element, attrs) {
          var ensureCompileRunsOnce = scope.$watch(
            function(scope) {
               // watch the 'compile' expression for changes
              return scope.$eval(attrs.compile);
            },
            function(value) {
              // when the 'compile' expression changes
              // assign it into the current DOM
              element.html(value);

              // compile the new DOM and link it to the current
              // scope.
              // NOTE: we only compile .childNodes so that
              // we don't get into infinite loop compiling ourselves
              $compile(element.contents())(scope);

              // Use un-watch feature to ensure compilation happens only once.
              ensureCompileRunsOnce();
            }
        );
    };
}]);

Here's a forked and updated fiddle.