Daniela Hantuchova progressed to the Marrakech Grand Prix quarter-finals with victory over last year's runner-up Lourdes Dominguez Lino.
Rafael Nadal needed nearly two hours to overcome countryman Albert Ramos and reach the Barcelona Open Banc Sabadell third round.
Defending champion Lukas Rosol is through to the Nastase Tiriac Trophy quarter-finals after overcoming Jarkko Nieminen.
Defending champion Maria Sharapova came through three tie-breakers to edge out Lucie Safarova in a gruelling contest at the Porsche Grand Prix in Stuttgart.
Lukas Rosol made a successful start to his defence of the Nastase Tiriac Trophy by defeating Filippo Volandri in Bucharest on Tuesday.
Rafael Nadal will face Albert Ramos in the second round of the Barcelona Open following the latter's victory over Nikolay Davydenko on Tuesday.
Daniela Hantuchova struggled past world number 176 Renata Voracova to book her place in the second round of the Marrakech Grand Prix.
Greg Rusedski is to coach one of Britain's brightest prospects, Kyle Edmund.
Britain's Johanna Konta lost 7-6 (7/4) 6-4 to Estonia's Kaia Kanepi in the first round of the Porsche Grand Prix in Stuttgart on Monday.
Yvonne Meusburger eased through to the second round of the Marrakech Grand Prix on Monday with a straight-sets win over Petra Cetkovska.
Jarkko Nieminen won a third-set tie-break to beat Leonardo Mayer in the first round of the Nastase Tiriac Trophy in Bucharest on Monday.
Teenage sensation Donna Vekic has won her first WTA title by defeating Dominika Cibulkova in the Malaysian Open final.