Autocomplete issue into bootstrap modal

Check out the appendTo documentation:

When the value is null, the parents of the input field will be checked for a class of ui-front. If an element with the ui-front class is found, the menu will be appended to that element.

So just add the class "ui-front" to the parent element and the autocomplete will be correctly displayed inside the modal.

The position is right that it is "absolute", while you need to specify this as an option to autocomplete:

$( ".addresspicker" ).autocomplete( "option", "appendTo", ".eventInsForm" );

Where it can anchor the box with the results in any element, I have to stop it from being anchored to the form's class!

Here is a working JsFiddle!.

The above solution talking about the z-index issue worked:

.ui-autocomplete { z-index:2147483647; }

Make sure you put it before your .js script responsible for handling the modal AND autocomplete logic.