The first extra time saw no goals but Bengaluru got better of a 10-men FC Goa team 1-0, four minutes from the end of the second extra half.
Goa were the runners up in 2015, while Bengaluru ended up second best last season. Coincidentally, both the teams had lost to Chennaiyin FC in their respective summit clashes.
FC Goa had blanked Mumbai 5-0 in October and later on won 2-0 against the Jorge Costa-coached Mumbai team, giving the former team the edge in the semis clash.
After a goalless first half, Jamshedpur stepped up the pressure on Mumbai and found the match-winner through Memo in the 80th minute.
Bengaluru FC have been dominant like last season, while defending champions Chennaiyin have been in woeful form, to say the least.
NorthEast United have won only one of their last seven matches but continue to be in contention for a semi-final spot.
The result sees Bengaluru extend their lead atop the ISL table to four points, while Kerala Blasters remain winless in 14 matches and are rooted to the ninth spot.
Before starting his managerial career in England in 1999, Brown played across England for clubs like Bolton Wanderers and Blackpool for over 18 years.
The night belonged to Sougou, who scored in the 12th, 15th, 30th minute and second half injury time, as he made a mockery of Kerala's defence at the Mumbai Football Arena.
Goals from Daniel Lahlimpuia (16th minute) , Bikramjit Singh (78th) and Nandhakumar Sekar (82nd) gave Delhi their first win of the season.
This is Kerala's worst winless run (8 matches) in ISL history and much of it has been their own doing.
Delhi have shown a plenty of promise in several games and if they do not convert their dominance into wins, they can forget about qualifying.
Ogbeche has now equalled Ferran Corominas' tally of eight goals in the race for the Golden Boot.
The home side survived onslaughts from Delhi Dynamos before Udanta struck the lone goal in the 87th minute to win the match.
Mukhi made headlines when the Indian Super League claimed that he, at 16, was the youngest ever to score in the tournament's history.
Bengaluru FC are the only team who are unbeaten so far, although they have only played six matches.
The win lifted Pune from the foot of the table into eighth position with five points from eight matches, while Jamshedpur tasted defeat for the first time.
Brazilian defender Vieira scored the winner in the 82nd minute to hand the Stallions their fifth loss from seven matches.
Arnold Issoko's fourth-minute goal was the difference between the two sides as the Islanders climbed to third on the table with 13 points from seven games.
Semifinalists' in the previous edition, Pune City have suffered four losses from five matches. They have just two points and are placed at the bottom of the table.
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