Berdych dominant on serve against Seppi in Rotterdam
Berdych, coming off a semifinal run at the Australian Open and Davis Cup win over the Netherlands, didn't face a break-point.
A semifinalist two years ago here, he will play the winner of an all-French faceoff between Gilles Simon and Nicolas Mahut.
Fifth-seeded Jo-Wilfried Tsonga played Florian Mayer of Germany late Monday.
Defending champion Juan Martin del Potro and Wimbledon champ Andy Murray — a last-minute wild card addition as second seed — will appear on Wednesday.