The heat may have been the biggest factor on day seven in Melbourne, but it was the red-hot start from Gonzalez & Pel that was causing the number 10 seeds problems early on, as they attacked Bhambri's serve in the third game to break serve and take a 2-1 lead, which they quickly extended to 3-1.
Neither duo even forced deuce for the rest of the set, allowing the unseeded Mexican and Dutchman to take the first set, 6-4.
Goransson & Bhambri sniffed out an opportunity in the fourth game of the second set, but could not capitalise on their first break point of the game as a rare ace from Pel played a role in holding serve, but despite many close games in the second set, a tiebreak was required.
The pressure seemed to get to the outsiders, who double-faulted early on in the tiebreak, and that was the only chance the Swede and Indian needed to take the tiebreak 7-5 and the second set, 7-6.
The tiebreak seemed to swing the momentum of the match, as another double fault from Gonzalez was one of three errors from the Mexican-Dutch duo in the third game, as the seeded pair finally forced a loss of serve.
Goransson - who reached the semi-finals in this competition a year ago alongside Dutchman Sem Verbeek - and his new partner was almost perfect on serve for the rest of the match, before a seventh double fault from their opponents in game nine, they secured passage to the Third Round with their second match point off Pel's serve.
The 4-6, 7-6, 6-3 victory means the world numbers 20 and 22 will now face the Brazilian duo of Orlando Luz and Rafael Matos for a place in the Quarter-finals.