Errani, ranked second in the world in doubles, and Vinci, ranked first, were not charged with an unforced error in their 76(3) 62 triumph over Sofia Arvidsson and Johanna Larsson - the 30th Grand Slam win of their partnership.
The 2012 WTA Doubles Team Of The Year is now 19-2 in Grand Slam matches dating back to their run to the final at last year's Australian Open, highlighted by titles at the French Open and US Open. Next up for the Italians are Jill Craybas and Chanelle Scheepers.
Another duo that also had plenty of Grand Slam success last year, second-seeded Andrea Hlavackova and Lucie Hradecka, were 64 63 winners over Eleni Daniilidou and Christina McHale. The Czechs, twice runners-up and twice semifinalists at the 2012 majors, play Kimiko Date-Krumm and Arantxa Parra Santonja, in the second round.
No.3 seeds Maria Kirilenko and Lisa Raymond lost more points than they won, but still escaped with a 62 16 64 defeat of Alicja Rosolska and Tamarine Tanasugarn to set up a second round encounter with Australian wildcards Ashleigh Barty and Casey Dellacqua.
There were two upsets, as Sílvia Soler-Espinosa and Carla Suárez Navarro downed No.10 seeds Bethanie Mattek-Sands and Sania Mirza, and Shuko Aoyama and Irina Falconi sidelined No.11 seeds Vania King and Yaroslava Shvedova. The results were especially surprising, in that Mattek-Sands and Mirza were fresh off a title to kick off their 2013 season in Brisbane and King and Shvedova are two-time major winners.
"I guess she has to see how she feels," Venus Williams said of sister Serena's right ankle injury. "Hopefully she'll get a win in singles and then see how she feels.
"She's not looking for any sympathy. She just wants to play the singles and doubles, and that's it."