Egyptian Interior Minister Ahmed Gamal Eddin reviewed criminal activity and police performance with Morsi. Presidential spokesman Yasser Ali said Morsi declared that it was necessary to tackle crime while addressing police performance, Egypt's State Information Service reports.
Ali said the president "will not tolerate any violations," the report adds.
Morsi has appointed a fact-finding group to investigate possible military and police abuses January 2011 until his election in June.
Rights groups Amnesty International and Human Rights Watch have been critical of Egyptian police and military activity since the country's revolution last year.
Amnesty International published reports alleging that police abuse has been "endemic" since the 2011 revolution.
An appeals court in Cairo appointed a civilian judge to look into allegations that members of the Supreme Council of the Armed Forces, the former military administration, was tied to violence against civilian protesters in the country.
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