He was joined by Montreal Canadiens center Tomas Plekanec, New Jersey Devils defenseman Marek Zidlicky and Carolina Hurricanes forward Jiri Tlusty.
Canadiens defenseman Tomas Kaberle also played for Kladno earlier in the season.
Jagr told local paper Sportovni Noviny that he would like to play one more game on Tuesday, as a farewell game to the Kladno fans.
"If possible, I would like to play on Tuesday," he said.
Many NHLers who have been playing in Europe and Russia have already returned to Canada and the U.S., while others have scheduled trips back for later this week.
Jagr might not want to risk playing one more game, in the event he gets injured and misses time with the Stars.
Plekanec suffered a pulled rib muscle 10 days ago and hasn't played since.
In 33 games with Kladno, Jagr registered 24 goals and 31 assists for 55 points, and a plus-16 rating.