Foster was forced into a string of saves to keep his side level in the first half, before Nacer Chadli scored against his former club to give the Baggies a shock lead.
"That was a busy one, we knew going in Tottenham were going to play that style. They didn't disappoint but the way the game went we're a little disappointed we didn't get the three points," he told the club's official website.
"It was carnage, we knew what quality they have got and they have some very technically gifted players. I was really happy to help the lads out and get into half time 0-0."
West Brom, who now sit 10th in the Premier League table, have drawn their last three games 1-1.