Claude Puel's side, however, were the benefactors of an uncharacteristic mistake from former defender Toby Alderweireld, as James Ward-Prowse capitalised at the back post following good work from Ryan Bertrand early in the second half.
Alli, 20, picked up the first red card of his career for a wild challenge on Brecht Dejaegere as Tottenham were eliminated at the round-of-32 stage last month.
"It is disappointing, a draw seemed normal for me". I felt terrible straight after it but it's important I put it behind me and make sure I learn from it and keep improving.
"I think I've definitely calmed down a bit but it's important, I'm never going to take that [competitiveness] out of my game".
Tottenham's last 12 goals have been netted by six different players, including four from the ruled-out Kane, so Southampton also have the likes of Christian Eriksen, Dele Alli and Harry Winks to keep them busy. "It was not possible, I don't know why".
Alli did not enjoy his best game on Sunday but proved again that he has the handy knack of popping up in unsafe areas in the style of former Chelsea midfielder Frank Lampard. Spurs were just 8/15 to win the match before Harry Kane's injury, which also prompted their Premier League outright odds to drift from 14/1 to 20/1.
"He always surprises me".
Spurs got the ball rolling when Moussa Dembele turned his marker, before slipping in Eriksen to take aim on goal.
Tadic added: "I am not the one who decides the future but I want to be shown more respect because of the statistics. When they get that goal and they get the confidence, they can easily push on and get another goal, but I think it was a very mature performance".
"We spoke before about that and I told him a few times that but he doesn't understand".
"The victory keeps us in a very good position in the table". "Outside the box, he plays like a midfielder".
Signing players to improve the squad isn't easy at Tottenham, a club that's trying to build both a title-winning team and an £800m stadium at the same time. "I am happy in the way that he trained this week too".
"That didn't happen and that's why the pressure came to us at the end".