Mumbai take on FC Goa, while Bagan clash with NorthEast United FC in the two-legged play-offs.
Hyderabad FC failed to qualify for the play-offs after being held by the Gaurs.
The team management needs to return to the drawing board and engage in introspection.
A brace from two Indian youngsters Paul Ramfangzauva (49', 66') and Jerry Mawihmingthanga (51', 67') enabled Odisha to end the season on a high, with S Lalhrezuala (33') and Diego Mauricio (69') chipping in.
Manchester City moved 13 points clear at the top of the Premier League table after a 2-1 win over West Ham United - their 20th straight win in all competitions.
Blasters ended their campaign in 10th place with 17 points.
Pierre-Emerick Aubameyang's 87th-minute header secured Arsenal a 3-2 win over Benfica for a 4-3 aggregate victory after the Premier League side had been staring at the exit door.
JFC held on for a 3-2 win despite a spirited second-half show from Bengaluru who ended seventh.
Ferland Mendy grabbed a late winner to earn lacklustre Real Madrid a 1-0 win over 10-man Atalanta.
A win for Mumbai City FC in their final game against ATK Mohun Bagan would seal them a spot in next season's AFC Champions League group stage.