I've got it 'sorted' out ;).. at least if i understand you correctly.
$( "ul" ).sortable(options);
I've made a var options which holds all the options for the sortable.. Now in the stop event i rebound the sortable with all the options again.. This only did not do the magic.. You made use of the ui.position.left and .top to absolute position a newly created ul.. You had to make use of the ui.offset.left and top to get the actual left and top of the element.. Without this the image would be placed outside the screen the second time you move it, and f'd it all up. ;)
Hint: As the var x already is a jQuery object on declaration, you later don't have to use $(x) just x.jQueryMethod will do just fine ;)
Edit: Oops i forgot to remove the console.log()'s