Man of the match: Ben Brosnan (Wexford):Championship debut to remember for Brosnan, who finished with seven points and was a constant threat throughout.
In the 50th minute, Wexford 'keeper Anthony Masterson saved a one-on-one with Niall McNamee and Wexford went up the other end and scored.
Offaly's finishing in front of goal was woeful. The Faithful forwards had four clear goal chances and took none.
Padraig O'Sullivan had a good game, despite turning down a decent penalty call from McNamee in the second half.
What they said
Tom Cribbin (Offaly manager):
"All the teams in our side of the draw saw a chance of a Leinster final. But when we didn't take the chances instead of keeping going, we fell apart."
Jason Ryan (Wexford manager):
"Goal chances scored and goal chances not scored was the story of the game."
Wides: Wexford 9 (3); Offaly 8 (5)
Frees: Wexford 24 (12); Offaly 23 (14)
Yellow cards: Wexford 2 (Murphy, Waters) Offaly 1 (McManus)
Wexford play Westmeath in the Leinster SFC quarter-final on June 12. Offaly go into qualifiers on June 25.