David Rutherford’s second of the night, just 50 seconds into the extra session, sealed the points for the Giants.
Nottingham Panthers picked up four points from their weekend road trip to Scotland.
David Clarke scored twice in their 3-1 victory at Dundee Stars and Panthers followed up with a 4-1 success at Braehead Clan.
The Flyers proved too strong for Corey Neilson’s team in the third game, running out 4-1 winners.
Jake Morissette (2) led the scoring for Cardiff Devils as they secured a 5-1 home victory against Clan.
Manchester Storm sealed their first cup victory of the season with a 4-2 home win against the Devils.
Edinburgh Capitals had a miserable start to their cup campaign, losing 8-3 at home to the Stars.
Sheffield Steelers bowed out of the Champions League, but produced an excellent performance in their final group game to defeat Red Bull Salzburg.
Jesse Schutlz hit a hat-trick as Steelers won 5-2 against the Austrian outfit who’d already qualified for the last 32 alongside Sweden’s HV71.
Cardiff Devils 5-1 Braehead Clan
Coventry Blaze 2-3 Belfast Giants (OT)
Edinburgh Capitals 3-8 Dundee Stars (Cup)
Fife Flyers 4-1 Nottingham Panthers
Sheffield Steelers 5-2 Red Bull Salzburg (Champions Hockey League)
(Image permission: Press Eye)