Play began five hours late because of the showers, after which the second-seeded Ferrer rolled past Simon Greul 6-3, 6-4. Baghdatis, seeded eighth, was a 6-3, 7-5 victor over Raven Klaasen. Ferrer and Baghdatis will meet in the quarterfinals on Friday.
Sebastien De Chaunac and Izak van der Merwe won their opening-round matches Wednesday.
Top-seeded Jo-Wilfried Tsonga will play in the second round Thursday against Denis Istomin.
Swim Week Miami Beach 2014 [PHOTOS]