The firth seed from Croatia won 7-5 6-2 in one hour and 36 minutes.
French sixth seed Edouard Roger-Vasselin endured a tougher route into round two as he had to fight from a set down to defeat Croatian qualifier Ante Pavic.
Roger-Vasselin progressed 3-6 7-6 (7/5) 7-5.
Sergiy Stakhovsky ended the hopes of British number two Dan Evans as the Ukrainian claimed a 3-6 7-6 (7/4) 6-4 victory.
Evans began very well against Stakhovksy, who stunned Roger Federer at Wimbledon last year, and took the first set.
Evans saved all 13 break points he faced in the first two sets, but Stakhovsky levelled matters on a tie-break and then finally took his chance at the start of the decider.
Evans, ranked 124, fought back from 5-2 to 5-4 but could not complete the comeback.
Kyle Edmund followed his compatriot out of the tournament after going down 7-5 6-1 to Germany's Tobias Kamke in one hour and 32 minutes.
Russia's Nikolay Davydenko claimed a 6-4 6-4 win over Holland's Igor Sijsling.