Both county's had resounding wins over the weekend.
Offaly's Lee Pearson and Dylan Hyland have been selected in the Tailteann Cup team of the week alongside Westmeath's Sam McCartan and Ronan Wallace announced by the GAA.
McCartan was also named footballer of the week after his performance in his sides win over Laois on Saturday.
The St Loman's club man finished with a remarkable 0-8, while his teammate Wallace scored 1-5 from centre back.
Dylan Hyland was in good shooting form himself as he kicked 1-12 for the Faithful, while their captain Lee Pearson had a stellar game in the full back line.
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