Car buyers in the market for a new diesel Volkswagen may have a difficult time going forward with their purchase in the coming days.

A company representative told CNBC on Sunday that there is a partial sales stop of 2015 and 2016 diesel vehicles with the four-cylinder 2.0 liter TDI engine.

VW dealers in Detroit still had some 2015 diesel Jetta, Passat and Beetle cars on the lot for sale on Friday.

>> Read more trending stories  

Last week, the Environmental Protection Agency said that Volkswagen used software that would make diesel-powered engines appear to have lower emissions levels than they really did, The Wall Street Journal reported.

The cars could emit as much as 40 times the pollution allowed under clean air rules, CNBC reported.

Approximately 482,000 Volkswagen and Audi diesel-powered cars dating back to 2008 are now being investigated by the EPA, The Wall Street Journal reported.

The company could face fines of up to $37,500 per car not abiding by the U.S. clean air rules if found in violation.