Aberdeen were due to play Hamilton Accies at Pittodrie on Wednesday.
Police issued “suitable advice” to Dons players training in an Aberdeen park.
Officers were in Hazlehead Park speaking to another member of the public when the Dons players were spotted.
Players have been given structured programmes to complete at the time they would normally train. They have been instructed to go for their individual runs at the same time each day and data is fed back to the club’s sports science department.
A club spokesperson said they were commended for having their own equipment and encouraged to use even more space.
The club confirmed the players are well aware of the regulations, they remained more than two metres apart and were not asked to stop.
The spokesperson added: “They weren’t using the same area and were more than two metres apart to do their runs. They were adhering to the guidelines that have been laid out. There was absolutely no issue with the police.”
A force spokeswoman said: “Police attended at Hazlehead Park in Aberdeen on Monday around 11am and spoke to a number of footballers who were training in the park.
“Officers spoke with the individuals and provided suitable advice.”
Aberdeen players were ‘adhering to guidelines’ over social distancing during fitness work
