Beverley Price from Bridgend Dogs Trust says 600 dogs arrived at the centre last year - a record number.
She urges anyone considering getting a dog to think long and hard about their decision - and is asking would-be dog owners to consider rehoming a dog from the centre.
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Showers expected throughout the day especially in the north. Drier and brighter elsewhere but cooler than in recent days.
Most places will become dry overnight, although it will remain generally cloudy with patches of hill fog.
Police have told people in Pontypridd that the cordon around the rugby club could be in place until next week.