With the clock winding down, Westmeath had possession and a two-point lead over their promotion-chasing rivals.
Goalkeeper Darragh Brooks scored 0-4 from two two point frees, Jack Higgins scored 0-2 and Liam Coleman was presented with Man of the Match for his contribution on the day.
Wexford go on to play Down in the League Final in Croke Park, Saturday next March 28th at 7.15pm.