Fatbus you are right..A330-300.
The reason why I didnt say A 333 is because remember last year EK placed a big MOU for 30 A 333s with Airbus as a "capacity bridge aircraft" to fully replace its A 332 fleet before the A 359s get delivered. I read online 2 months ago, that apparently the MOU EK had with Airbus for the A 333s got canceled hence.
The reason why I said B 77Ls and B 77Ws is because EK is interested in launching more ULH destinations for which these 2 aircraft come in handy. These include MIA, ORD, EZE as well as increasing MEL capacity from A 345s to B 77Ws.