Salgaocar had taken the lead in the 81st minute through Francisco Fernandes but Rangdajied United hit back with goals from Ranti Martins in the 86th and 90th minute to scuttle the home team's title hopes.
Salgaocar strikers Dudu Omagbemi and Darryl Duffy, as always, were combining well and created the first move within the first ten minutes. In a swift counter-attack, Francis Fernandes relayed the ball to Dudu, who beat defender Lamine Tamba with a body feint but the defender recovered just in time to stretch wide and block Dudu's booming effort.
Most of the chances, though, fell for striker Sandesh Gadkari, the first being a well-timed cross from Steven Dias, which he mistimed badly.
There was good action five minutes before the change of ends as Clifton Dias's curling attempt from the left hit the post and rebounded back into play.
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In the very next minute, Rangdajied United were unlucky as Gadkari's effort off a Steven Dias cross hit the goalpost. Ranti also had his attempt saved and Steven sent his shot wide from close range.
Dudu sent a beautiful through ball for Duffy, who found himself all alone with the goalkeeper. Duffy took time but sent his effort straight into the waiting hands of goalkeeper Surjay Pariyar.
In the second session, Rangdajied went close again. This time Eugenson Lyngdoh appeared to have picked the right spot through a crowded defence and goalkeeper Karanjit Singh was beaten, but there were no celebrations as defender Augustine Fernandes came up with a goal-line clearance.
Salgaocar got the goal they were looking out for in the 83rd minute when a corner from Bikash Jairu saw Ranty head it out but straight into the path of Francis Fernandes whose shot from outside the danger zone sailed into the goal.