Cristian Romero scored for Spurs on 90 minutes to earn the point from Turf Moor.
Fans barracked Frank in the aftermath and the Dane said later: "First and foremost, I want to thank them for travelling and supporting the team throughout the game, which they do. I'm sure they can recognise and acknowledge especially the first half, and the improvement we've done there, and could and should have put it out of sight.
"But also acknowledge the will-power and character of the team that keeps running, keep fighting, to the end. We just need to keep going. We do so many things right. But there's no doubt, that when it's not dropping so easy for us, the consistent performances we've done, which I think I said that many times, they actually are in an OK level.
"But apparently because of where we are now, we need to do more, to make sure we get the wins over the line. Especially in the Premier League. And one of the bits is to play every third or fourth day, to perform, that demands a lot of mentality.
"We have a few injuries, that doesn't help, but that's part of it. Never any complaints from me, that's reality. But that's where we need to be strong enough as a team to keep performing every third or fourth day."