Video of the toddler's feat was posted on YouTube by his father Jorg
VVV, the club in the south-eastern town of Venlo where the family live, invited Baerke for a "trial".
They were doubly impressed by the fact his grandfather had played for VVV.
"Baerke did his best to amaze professional footballer Ken Leemans with his football techniques," the club said.
"One can speak of a right-footed player with a very good kick technique, perseverance and, importantly, football genes of grandfather Jan van der Meij."
Importantly, too, the little Dutchman can shout "bal" (English: ball).
The signing of the contract, with a little help from Jorg, was toasted with a glass of orange juice.
The video originally posted on YouTube has been viewed at least 1.67m times.