The 23-time grand slam champion leads Wawrinka 21-6, head-to-head. This was their just third meeting since the final of the 2016 US Open, which the Swiss player won.
Alcaraz continued his perfect record at this year's Wimbledon on Friday when he moved past Frenchman with a controlled display against World No. 84 Muller.
Petra Kvitova extended her winning streak to seven after dropping just four games to claim a third-round spot, clinching a victory over Sasnovich in a match that lasted for 74 minutes.
Tiafoe, who defeated Wu Yibing on Wednesday to start his campaign, maintained his excellent play to reach the third round for the fifth consecutive major tournament. The American won the final two sets after fending off four set points in a lengthy opening tie-break.
In southwest London, a car collided with an elementary school, killing one child while injuring two adults and six other children, CNN reported citing the statement of London's Metropolitan Police on Thursday.