The Indo-Zimbabwean team defeated the Taipei-Protea pair 6-4 6-1 in little over an hour in the second round contest of the euro 3,671,405 clay court tournament.
Sania and Cara, winner of the Portugal Open last week, raced to 4-1 lead but Chan and Scheepers reduced the margin to make it 3-4.
However, the Taeipei-Chinese pair could not sustain the momentum as Sania and Cara proved too good for them.
Sania and Cara have moved to third place in the Race to Singapore, where the year-end finals will be played in November.
World number one team Sara Errani and Roberta Vinci are heading the table with 3430 points, followed by Elena Vesnina and Ekaternia Makarova (2266) and Sania and Cara (2247).