India defeated Australia 2-1 in a four-Test series, which concluded today, and Gavaskar said the next goal for the team should be better results abroad, the satisfaction of which is "completely different".
"That's (winning overseas) what we always want to do, that's the test we set ourselves as players. We are familiar with home conditions. It is great that we do well at home, it is pretty much expected. But winning overseas is a completely different satisfaction. It's a greater satisfaction that in conditions that you are not used to, you have done well," Gavaskar said.
Gavaskar said Team India is in the right direction in its quest for success overseas.
"The team is on the right track with Anil Kumble as the coach because Anil not only has massive experience he was also an aggressive bowler. I think he had the temperament of a fast bowler and that aggression has been shown by the bowlers as well," the former India captain told NDTV.
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"To have Ishant (Sharma), to have Mohammad Shami who did not play is this game is a huge plus. You have Bhuvneshwar Kumar and Umesh Yadav doing the job, so in future if you want to rotate these bowlers, to give them just a little bit of break, India has the pace bowling reserves as well. That really is good news particularly with India going to play overseas," he added.
"Virat is one of the best batsman in the world and he is not there and you still insist on going with five batsmen and five bowlers, I think it is fantastic," Gavaskar said.
"The way he (Rahane) handled the situation particularly after Australia were 140 for 1 on Day 1, the bowling changes he made at that stage actually showed what a sharp cricketing brain he has. He has joined five Mumbai players who have won their first match as captains," he said.
"Lot of people underestimate the contribution Cheteshwar Pujara makes with his batting. His solidity at one end actually gives confidence to the batsman at the other end. Pujara has got all the shots in the book but he chooses to exercise those shots according to the needs of the situation.
"Occupation of the crease is more important because it is a five day game and he does it to perfection. The Indian dressing room knows how big a player he is. Rahul (Dravid) was called the 'Wall' but I will call him (Pujara) 'Dewar'," the batting legend said.
Steve Smith today apologised for letting his "emotions slip" during the aggressively-contested series and Gavaskar spoke highly about the Australia captain.
"Steven Smith is a big man because for him to accept he has made a mistake just shows what a big man he is. I am so happy he has come and done that," Gavaskar said.