Dragons’ quartet Will Rowlands, Taine Basham, Ross Moriarty and Leon Brown all featured prominently as Wales produced a thrilling second-half comeback before being edged out by England.
Marcus Smith's boot built a 12-0 lead by the end of the first half before Alex Dombrandt went over.
Wales rallied as Josh Adams raced in and former Dragon Nick Tompkins crashed over to make it 17-12.
England scored a pair of penalties, but Kieran Hardy's try kept the contest in doubt until the final seconds and a Mario Itoje turnover.
Wales are next in action on Friday, March 11 when they face Six Nations leaders France in Cardiff.