The Australian Open champion lost his only previous head-to-head clash with Bellucci, but that was on clay back in 2009.
Wawrinka made a good start in the final grand slam of the year when he beat Jiri Vesely in straight sets in the first round on Monday, even if he was taken to a tie-break twice.
Bellucci also enjoyed a confidence-boosting start on the back of a strong service game to beat Nicolas Mahut 7-6 6-4 6-4.
Czech Berdych will be the favorite in the first round clash, but the 2001 champion Hewitt is likely to be a dangerous opponent, despite his 33 years.
In the women's draw, five-time grand slam champion Maria Sharapova meets Alexandra Dulgheru in the second round.
The fifth-seeded Russian showed no mercy in the first round as she took the final 10 games to beat compatriot Maria Kirilenko 6-4 6-0 and is expected to be just as ruthless against Romania's Dulgheru.
(Reporting by Andrew Both in Cary, North Carolina; Editing by Greg Stutchbury)