Burnley manager Scott Parker looked downcast as he made his way off at the final whistle, the opportunity of a rare victory snatched away in the closing moments.
In a match of dubious quality, The Clarets' passive approach and lack of conviction allowed Spurs to dominate – without ever looking fluent – until they were thrown a lifeline with Axel Tuanzebe's equaliser at the end of the first half.
Burnley showed more intent after the break but still struggled to carve out chances until Parker made changes that injected life into his team.
Foster looked to have given them their first league win in 14 games, but Burnley could not hold out for a victory that would have been even more valuable after West Ham United’s win against Sunderland, their second in succession in the league, earlier on Saturday.
Burnley's point was mainly thanks to the superb goalkeeping of Martin Dubravka, who saved the best of a string of outstanding saves until the last when he somehow clawed out Tel's late header.
It left Burnley contemplating three points until Cristian Romero's last-gasp intervention left them feeling a big opportunity had passed them by.
