Both counties came close to recording shock victories in league action over the weekend.
Westmeath and Offaly are represented in GAA.ie's team of the week after the second round of fixtures in the Allianz National Hurling Leagues.
Brian Duignan who played a crucial role in Offaly's draw away to Wexford, scoring 1-7, is named at corner forward.
While Westmeath's Daragh Egerton helped keep the All Ireland champions Limerick to a relatively modest 1-20 in Cusack Park yesterday.
The Clonkill man is named in a full back line that includes Ronan Maher of Tipperary and Waterford's Conor Ryan.
Tipp are the best represented this week after their five point victory over Galway with Conor Bowe and Gearoid O'Connor joining Maher in the selection.
Our coverage of the Westmeath and Offaly games is with thanks to Reynolds Commercials Athlone, O’Brien’s Renault Mullingar, and Leahy Midlands Auctioneers.