The third-seeded Czech recorded a 6-3 6-3 victory over his Italian opponent in one hour six minutes.
Berdych, the Australian Open semi-finalist, broke once in the first set and twice in the second to secure a routine success.
He was utterly dominant on serve, not facing a single break point.
Berdych was joined in the second round by two qualifiers, Germany's Michael Berrer and Frenchman Paul-Henri Mathieu both progressing in three sets.
Berrer saw off Dutch wildcard Jesse Hutagalung 6-4 2-6 6-3 and Mathieu defeated Croatia's Ivan Dodig 4-6 7-6 (7/2) 6-4.
Fifth seed Jo-Wilfried Tsonga had to recover from a set down to get past Germany's Florian Mayer.
Mayer took the only break point in the first set but the world number 10 from France responded to win the second and pull away in the third, eventually winning 4-6 6-3 6-1.
Mayer's compatriot Philipp Kohlschreiber saw off Ukraine's Sergey Stakhovsky in the last match of the day.
Kohlschreiber needed less than 24 minutes to take the first set, breaking twice and serving out to love with the help of his only ace of the set.
A solitary late break was enough in the second as the German completed a 6-2 7-5 win in an hour and five minutes.