The Russian Kirilenko beat Croatia's Nika Ozegovic 6-1, 6-1 to set up a second-round matchup with Italy's Roberta Vinci.
Srebotnik, a native of Slovenia and the 2007 runner-up, defeated Croatian Sanda Mamic 6-2, 6-2.
New Zealand's Erakovic was upset by France's Camille Pin 7-5, 5-7, 6-3.
Eighth-seeded Italian Sara Errani rallied to beat countrywoman Maria Elena Camerin 6-7 (4-7), 6-2, 6-1.
Celebrity Couples of 2014 [PHOTOS]