Five people have been taken to hospital after a taxi cab drove into a crowd of pedestrians near Gostiny Dvor in central Moscow, a source in the city's emergencies services told TASS.
Police said the driver likely lost control of the vehicle and has been detained.
The embassy said the women had been lightly injured and were receiving consular assistance. Two Mexican nationals, who had come to Russian Federation for the World Cup, were among the injured in the incident.
Early reports say that Mexico fans are among the injured, as some of those involved were wearing Mexican team colours. He was shouting: "'It wasn't me'".
Former Oregon Duck Killed in Car Crash
He had three sacks in the spring game and was expected to contend for a starting outside linebacker job this coming season. He was transported to a local hospital and then after an investigation, he was cited in lieu of custody for DUII.
The driver is reported to have tried to flee the scene, but was arrested by police.
The traffic accident occurred on Ilyinka street located close to Red Square on Saturday, when the driver suddenly accelerated, hit the pedestrians on the sidewalk and crashed into a road sign.
Russian authorities have promised to host a safe World Cup tournament, which is taking place in 11 cities until 15 July.