The Welshman had to share the spoils on his return to former club Swansea.
Mauricio Pochettino’s men twice came from behind to level but were unable to get the winning goal despite intense pressure in the closing stages of the game.
‘We had plenty of chances and could have done a lot better, it’s a shame not to have come away with three points really,” said Davies, in an interview with Spurs TV.
“In those nine saves (made by Lukasz Fabianski) – a lot of them were good chances for us and it’s a shame we couldn’t get the win but a point on the road is a point gained really.”
Davies - who put in a solid if unspectacular performance on his return to the Liberty Stadium – was powerless to prevent either Swans goal in what will be a disappointing afternoon for the Spurs rear-guard.
Tottenham have looked a much stronger defensive unit this season and still boast the joint best defensive record in the league, but will rue the two goals shipped yesterday.
Jefferson Montero gave Kyle Walker a torrid time all afternoon and it was the Ecuadorian's cross that was expertly headed in by Andre Ayew to put Swansea one up.
Harry Kane’s own goal cannot be legislated for however, with the England striker somehow making a mess of a routine clearance from a corner, and Davies opted to look on the bright side after Spurs made it seven games unbeaten in the Premier League.
“The goals we conceded weren’t our best showings but sometimes you have these games where you just have to grind them out and get a result anyway you can,” he added.