International observers said Zimbabwe's run-off election fell short of standards laid out by the African Union, citing violence ahead of Friday's vote and saying that the opposition party, Movement for Democratic Change, was denied equal access to the media during the campaign.
Mugabe flew to Egypt after being sworn in Sunday for his sixth term as president, following the one-candidate run-off election from which the opposition dropped out, citing violence and intimidation against its supporters.
Mugabe, 84, has led Zimbabwe for 28 years, since the country's independence from Britain in 1980.
A resolution drafted by African foreign ministers ahead of the AU summit condemned violence in Zimbabwe in general terms and called for dialogue but did not criticize the elections or Mugabe.
UN Secretary-General Ban Ki-moon issued a statement calling Zimbabwe's election "deeply flawed" and urged Mr. Mugabe and the opposition to negotiate.
More than 80 people died in election-related violence and some 200,000 people have been driven from their homes.