Having already seen a point-blank header blocked on the line by Yohan Cabaye, Dele looked to have perfectly angled a low shot into the corner.
However, the ball hit the inside of the post, rolled along the line, hit the other post and allowed Joel Ward to clear.
Dele’s hat-trick of near misses arrived in the second half when his low cross somehow evaded both Harry Kane and Josh Onomah.
Palace goalkeeper Wayne Hennessey denied Harry Kane and Christian Eriksen as Palace progressed thanks to Martin Kelly’s goal in first half injury time.
Reflecting on the effort that struck both posts, Dele rolled his eyes. “It’s one of those moments where you are left scratching your head wondering how it didn’t go in,” he said, and he had similar feelings for his earlier header.
“It’s rare for me to get on to a corner. I think it was Cabaye on the line and it’s another moment where you are disappointed it hasn’t gone in.
Below: Dele speaks to Spurs TV
“We had a lot of chances early on and if they go in, perhaps it’s a more comfortable game for us.
“We worked hard but it wasn’t our day and you have to give credit to Palace for that as well.
“Our mentality at the moment is to want to win every game and there is a lot of disappointment after that result, but we have to pick ourselves up.
“We have to work hard in training now, push ahead and look forward to the next game. Fiorentina is a massive game. We want to get back into form and we want to win on Thursday.”