fulham vs west hamHhlhts from the Premier League clash between Fulham and West Ham. So Fulham are 13th, one place and one point above West Ham after that draw at the Cottage.. AWest Ham United won 17 times in their past 29 meetings with Fulham. West Ham United, Matches, Win, Draw, Lose. Overall, 37, 10, 10, 17. Home, 19, 5, 5