Here is a way how you can do an intersection with streams (remember that you have to use java 8 for streams):
List<foo> fooList1 = new ArrayList<>(Arrays.asList(new foo(), new foo()));
List<foo> fooList2 = new ArrayList<>(Arrays.asList(new foo(), new foo()));
fooList1.stream().filter(f -> fooList2.contains(f)).collect(Collectors.toList());
An example for lists with different types. If you have a realtion between foo and bar and you can get a bar-object from foo than you can modify your stream:
List<foo> fooList = new ArrayList<>(Arrays.asList(new foo(), new foo()));
List<bar> barList = new ArrayList<>(Arrays.asList(new bar(), new bar()));
fooList.stream().filter(f -> barList.contains(f.getBar()).collect(Collectors.toList());