The 66 and 68 year olds were on their way home in the Broad Street area of Waterford City.
At approximately 9:50pm two males tried to snatch their handbags.
One was knocked to the ground and sustained a cut to her hand.
One bag was taken, one of the women managed to hold onto hers.
The two males, one taller than the other were both wearing hoodies.
Gardaí are currently looking at CCTV footage.
Anyone with information is asked to contact Waterford Garda Station on 051-305300.