Erakovic, ranked 50th in the world, has progressed past the second round of the Australian Open twice in her career (2009 and 2012). Cirstea has reached the third round in Melbourne the last two years.
The winner of the match will face either Serbian Bojana Jovanovski or a qualifier in the second round with 11th seed Simona Halep looking as a possible third round opponent.
Third seed Maria Sharapova is also on the same side of the draw.