The tournament opener saw BPCL forwards being kept at bay by the local outfit in the first half, thanks to some tight defending.
In the second, Kawaljit Singh scored a field goal to put BPCL ahead. Sher Singh doubled the margin in the final minute to give the team two points.
Later, in a Pool "B" game, Army XI was held to a 4-4 draw by Hockey Odisha after having been ahead 3-0 at half-time.
On resumption, the Odisha team bounced back strongly and slotted in three goals in the 42nd, 45th ad 56th minutes to draw level.
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The final 10 minutes of the encounter saw the teams go all out to find the net. BB Machaiah put Army 4-3 up but Sibren Lakra scored the equaliser with four minutes to go, through a penalty corner.
Defending champion Indian Railways will open its campaign in a Pool "A" match against Hockey Bengluru tomorrow.
Pool "B": Army XI 4 (Siraju AP 19m, Binoy Bhengra 29m, Anselm Hemrom 32m, BB Machaiah 60m) drew Hockey Odisha 4 (Cyril Lugun 42m, Sanjay Xalxo 45m, Amit Chirmako 56m, Sibren Lakra 66m).