Wimbledon champion Roger Federer took just 11 minutes on day four to wrap up a convincing 6-2 7-5 6-1 win over Argentine Juan Martin del Potro.
The Swiss will face former world number one Safin in the third round, after the Russian beat Pakistani Aisam-ul-Haq Qureshi 6-4 6-2 7-6 (7-4).
Nadal enjoyed an easy day's work with a 6-2 6-4 6-1 second-round victory over Austrian Werner Eschauer.
Roger Soderling of Sweden, beat Sebastian Grosjean 6-3 3-6 6-3 6-2.
Nikolay Davydenko beat Australian Chris Guccione 3-6 5-7 7-6 (7-5) 6-4 6-2.
Hewitt steamrolled through his second-round match against Italian Simone Bolelli 6-2 6-2 6-1.
Wayne Arthurs beat Spanish 11th seed Tommy Robredo 6-3 7-6 (7/5) 6-3.
Spain's Feliciano Lopez beat Tim Henman 7-6 (7-3) 7-6 (7-5) 3-6 2-6 6-1.
Over to the womens
Maria Sharapova eased into the third round at Wimbledon, defeating France's Severine Bremond 6-0 6-3
Mauresmo made short work of her second-round tie, beating Austria's Yvonne Meusburger 6-1 6-2
Venus Williams enjoyed a comfortable 6-2 6-2 victory over Czech Hana Sromova
Nicole Vaidisova beat Nicole Pratt 6-3 6-2