Ahmadinejad told Iranian state television that if Bush planned to travel to Iran, he was welcome to make a speech at an Iranian university.
At Columbia Monday, university president Lee Bollinger introduced Ahmadinejad as a leader who exhibits "all the signs of a petty and cruel dictator."
That introduction has prompted complaints in Iran and elsewhere that Ahmadinejad had been blindsided.
While the Iranian president himself complained of the "unfriendly treatment" and "many insults," he otherwise appeared to take the comments in stride.
But back home, Iranians are saying Bollinger's words added to their image of the US as a bully.