Murray is set to begin his grass-court campaign at the Challenger Tour event.
The British pair are a dominant force in wheelchair tennis, having won 19 grand slam doubles titles together.
Daniil Medvedev continued his Rome title defence with Monday's hard-fought 7-6 (7/5), 2-6, 7-5 win over qualifier Hamad Medjedovic as the men's tournament was left wide open by big-name exits, the latest being fourth seed Andrey Rublev.- Swiatek on course - World number one Iga Swiatek is yet to drop a set after beating Angelique Kerber 7-5, 6-3 and is favourite for a third Rome crown before she begins her French Open title defence later this month.