That day, the Hatters won a Division One clash 2-0, with Richard Harvey hammering home from 25 yards and John Dreyer converting a penalty.
The Luton News takes a look at just who was in the Hatters side below.
1. Steve Sutton
Goalkeeper had joined on loan from Nottingham Forest and the Chelsea game was his third successive clean sheet, making a fine save from Kerry Dixon's close range shot and his own defender Trevor Peake's rebound.
2. Julian James
Defender had only recently come back into the side, but went on to finish as a first team regular, with 28 matches and two goals, including against Notts County on the final day as the Hatters lost 2-1 to drop out of the top flight.
3. Richard Harvey
Former England schoolboy put Town in front with a cracking free kick, rifling past Dave Beasant from 25 yards. One of two goals in 32 appearances that season, his other coming in a 2-1 victory over Southampton.
4. Chris Kamara
Had missed the first part of the season but like fellow defender James, once he got into the side, he stayed there, playing the final 28 matches of the campaign.