The information and photo of the meeting with the two leading personalities was shared on the CM's official Twitter handle.
"Renowned film actor Mr @akshaykumar & film director Mr R. Balki called on Chief Minister @ChouhanShivraj today at his official residence," it read.
What transpired in the meeting or its purpose was not yet officially known.
However, some media reports said that the "Cheeni Kum" helmer, for his next slice-of-life film, has roped in Akshay Kumar and Amitabh Bachchan, who has been a regular in his projects.
The filmmaker will begin shooting sometime next year.
Singh made a name in the field of professional wrestling
and had over 500 professional fights to his credit, all undefeated. He announced his retirement from wrestling in 1983. He had won the title of 'Rustam-E-Punjab' and 'Rustam-e-Hind' for his wrestling prowess.
The wrestling champion entered the film industry in 1952 with "Sangdil" and did films like "Faulad (1963)", "Darasingh: Ironman" (1964), "Daku Mangal Singh (1966)" and "Warrant" (1975). He played the the character of Hanuman in Ramanand Sagar's television series "Ramayan".
He was last seen in Imtiaz Ali's "Jab We Met" in 2007 as Kareena Kapoor Khan's grandfather.
"I think this will be the best wrestling film that could ever be made. I think Dara Singh was Dara Singh there can be nobody like him. We want to create a great piece of work which will be an inspiration for youngsters," he said.
Vindhu made it clear he won't be acting in the film.