JUPITER, Fla. — The Cardinals made Albert Pujols what they said was their best offer.

It wasn’t enough. So get ready, baseball: Pujols seems headed for the open market next fall.

The deadline Pujols set for the Cardinals to reach a new contract agreement passed yesterday with no deal, making it likely the three-time MVP will become a free agent after the World Series. The Cardinals said they will respect Pujols’ wishes and not request more talks during the season, unless their first baseman surprisingly changes his mind.

“A difference of opinion in determining Albert’s value simply could not be resolved,” said Pujols’ agent, Dan Lozano.

The Cardinals would not reveal their offer, though it was believed to be somewhere around $200 million for eight years, possibly with an opportunity for Pujols, 31, to obtain an ownership stake in the franchise once his playing days are complete.