The West Ham striker is charged with driving a car while a baby was being held by a passenger.
Snodgrass, 29, is alleged to have driven on Duke Street, Glasgow, on 17 April with too many people to fit a baby seat in.
The baby is alleged to have been in the arms for a rear seat passenger.
Snodgrass, originally from Glasgow, was not at the city's Justice of the Peace Court when the case called.
Defence lawyer Martin Black told the court "he didn't think he had to be" when asked why his client was not present.
The Crown requested a warrant which was granted by JP Eunice Paton.

The claims against professors Nigel and Niall Piercy came to light during a staff forum set up by the university.
Staff claimed to have been publicly humiliated, verbally and physically intimidated, and "told to leave if they didn't like it".
Both men have been asked to comment but neither has responded.
In staff forum meetings with university representatives, employees claimed both Dean Prof Nigel Piercy and Pro-dean Prof Niall Piercy had reduced staff to tears on many occasions.
They also spoke about how alleged sexist comments had been used in career development reviews and claimed the university's family-friendly policies had been ignored by the two men.
BBC Wales has previously spoken to past and present members of the school's teaching staff who questioned why the university's senior management team had not stepped in sooner.
The issue was raised again in the staff forums, with some workers claiming the university's senior management team had been "deafening in its silence" about what was going on at the school.
Although the majority of those at the meetings were critical of the professors, two members were positive.
One said staff had created a "them and us" atmosphere among a culture of suspicion, while another felt some employees were unwarrantedly critical of both men.
In a statement, Swansea University said it had robust anti-harassment and anti-bullying policies in place.
"Any concerns raised internally about the School of Management are being dealt with by the University Registrar," a spokesman added.

South Wales Police said David Ellis, 40, his lodger, has been arrested in Ireland.
Officers are liaising with Garda officers in connection with his extradition back to the UK.
Retired telecoms engineer Mr Warburton, 59, has not been seen since 31 July.
Police launched an appeal for information after he went missing; they said his M-reg Peugeot 205 had been spotted in north Wales before returning to Swansea.
The car was found abandoned at Birkenhead port some days later.
Police said Mr Ellis, who had been Mr Warburton's lodger in Sketty, had stepped off a ferry in Belfast, Northern Ireland, on 6 August.
That discovery prompted a fresh appeal for information and led to Welsh officers being sent across the Irish Sea.
South Wales Police said Mr Warburton's family had been informed of the latest development in the investigation and continued to be assisted by family liaison officers.
Mr Warburton's body has not been found; detectives have previously said they are treating the incident as murder.
A warrant has been issued for Scotland international footballer Robert Snodgrass after he failed to turn up for his court trial.
[NEXT_CONCEPT]
Fresh allegations of threatening and sexist behaviour have been made against a father and son at Swansea University's School of Management.
[NEXT_CONCEPT]
Police investigating the murder of missing Swansea man Alec Warburton say a man they wanted to speak to in connection with his disappearance has been arrested.