At least eight pedestrians, including some Mexican World Cup fans, were injured after a taxi mounted a crowded pavement in central Moscow.
Police say the driver in the crash Saturday has been detained.
Interfax reported that the taxi driver was operating on a drivers license from Kyrgyzstan.
Eyewitness reports indicated that the incident was deliberate, though police said preliminary information indicated the driver lost control of the vehicle.
Russia is now hosting the soccer tournament and Moscow is one of 11 Russian cities where World Cup games are being played.
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The driver, a citizen of Kyrgyzstan, said he did not act on objective, according to Moscow authorities.
The driver attempted to flee the scene but was apprehended by police, a witness said.
Asked if the driver appeared drunk, the witness said: "No, he wasn't drunk". It cited the driver as saying he did not drive into the crowd on goal.
Russian media has said one woman was in a "serious but not critical condition", but that nobody else was seriously injured following the incident.
Russian authorities have promised to host a safe World Cup tournament, which is taking place in 11 cities until 15 July.