Heung-Min Son's 64th minute super goal earned Tottenham the three points at Wembley in a 1-0 win, but it was Gazzaniga at the other end who made sure that Spurs got the win, despite a sloppy display, with some very important saves.
Song Heung-min was the match-winner for Tottenham in Sunday's early game, with the South Korean netting the only goal of the game against strugglers Crystal Palace.
Dier's main position is playing as a defensive midfielder but the versatile player can be utilised in several different positions. "It's great to get the three points ahead of the worldwide break and we'll enjoy watching the rest of the football this afternoon", Son said after the game.
"I'm pleased with how we went about our business".
The visitors' best chance fell to Ivory Coast's Wilfried Zaha in the second half, but he missed an open goal after going around Spurs goalkeeper.
The keeper was a continued thorn in Palace's efforts to get a goal, as he continued to deny the Eagles the goal many had believed they deserved, leaving Roy Hodgson's men rock-bottom of the Premier League after 11 games.
A few minutes later, after Danny Rose's shot was blocked, the ball ended up with Son on the edge of a crowded area and he curled a delightful shot past Julian Speroni.