Spurs were without 10 players but held on despite a second-half collapse to set up a two-legged semi-final against Liverpool.
Larne are the first club from Northern Ireland to make it to the group stage of a European competition.
Two mistakes by Fraser Forster set up a grandstand finish, but Spurs held on for a precious victory.
A win over a Petrocub side who had taken just one point from their previous five matches would have been enough for Neil Critchley’s side to progress.
Walsall will be looking to sign off for Christmas with another win when they travel to Wetherby Road to face Harrogate Town on Saturday.
The latest figures show an average of 2,629 flu patients were in beds in England each day last week.
Walsall midfielder George Hall has been ruled out for six to eight weeks with a hamstring injury - according to boss Mat Sadler.
The ruling falls well short of a 59% bills hike requested by the troubled water company, as it tries to secure a bailout from investors.
Former Albion defender Erik Pieters looks set to return to football as a free transfer with Luton Town.
The Italy forward played the second half of the Reds’ 2-1 Carabao Cup win at Southampton.
Hyundai and Kia are definitely among the two most improved car firms over the last two decades and its latest creations are some of the best yet.
Victoria edged to a 3-2 victory over Warstones Wanderers to book their place in the Ken Pemberton Cup final.
Walsall boss Mat Sadler has suggested that Oisin McEntee could still be used as a midfielder if required.
First-half goals from Darwin Nunez and Harvey Elliott put Slot’s side through.
Postecoglou saw opposite number Russell Martin sacked hours after Spurs thrashed Southampton 5-0.
