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Klose, 36, crowned his career on Sunday as Germany beat Argentina 1-0 to win the World Cup in his 137th international match.
That appearance total makes the striker the second most-capped Germany international behind 1990 World Cup winner Lothar Matthaus, who clocked up 151 appearances.
Lazio player Klose left his international future up in the air on Sunday, telling reporters he would make a decision in the next few days. "I don't know if I will continue," he said.
His two goals at the 2014 World Cup took his total for the competition to 16 in 24 games over four tournaments, putting him one ahead of previous record-holder Ronaldo.
And should he choose to call it a day, DFB president Wolfgang Niersbach said he wanted to ensure that he could make one last appearance in front of his own fans.
"I would like to enable him to say goodbye at home," he told reporters in Rio on Monday. "I have not talked to the coach about it, but he has absolutely deserved it."
Germany boss Joachim Low joked: "Everything's possible with Klose. Maybe he'll play for another four years."
Klose's Lazio president Claudio Lotito told kicker: "Miroslav Klose is part of football history. I am convinced that he will retire from football here. That's a very special honour for us." The striker is under contract with the Serie A club until next year.
Germany will take on Argentina in a friendly rematch of the World Cup final in Dusseldorf on Sep. 3.
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