It proved a difficult weekend for both.
Westmeath have been relegated from Division 1B of the National Hurling League.
They suffered a heavy defeat at the hands of Waterford yesterday.
The final score was 24 points to 7-34.
Laois could be joining them in Division 2A next year.
Tommy Fitzgerald's side were well beaten by Antrim.
Their 4-22 to 0-21 point loss in Corrigan Park means Laois need two wins from their last two games to ensure survival.
Offaly meanwhile have been promoted to Division 1A after Carlow's loss to Dublin on Saturday.
Westmeath manager Seoirse Bulfin says dropping from 1B is hard to take:
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Elsewhere Cork gained a measure of revenge for their defeat to Clare in last year's All-Ireland hurling final yesterday.
The visitors claimed a 6-20 to 23 points win over the Banner in their Division 1A clash at Cusack Park in Ennis.
At Nowlan Park, Kilkenny fell to a 2-25 to 1-19 defeat to Tipperary.
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