Egyptian police dispersed a protest in Cairo while mounting a huge show of force in the centre and other cities after calls to demonstrate
Meanwhile, a large pro-Sisi rally was held in the capital.
Last week, protests broke out in central Cairo and other cities following calls for demonstrations against alleged graft and waste by Sisi and the powerful military, accusations that Sisi denies.
Police on Friday fired tear gas to disperse up to 1,000 protesters in Cairo's Warraq island, shouting "Leave Sisi," witnesses and security sources said.
Protesters also tried to gather in Qus in southern Egypt but police dispersed them, security sources said.
Security forces have stepped up presence in main squares in major cities across Egypt to counter the demonstrations. Source: EPA
There was no demonstration at Tahrir Square, as police closed all roads leading there, or in other parts of central Cairo.
Tahrir Square was the epicentre of protests that led to the overthrow of former President Hosni Mubarak in 2011.
Security forces have stepped up their presence in main squares in major cities and plainclothes police have been checking motorists' and pedestrians' mobile phones for political content, measures that continued on Friday.
Sisi, who was in New York this week attending the UN General Assembly, returned to Cairo on Friday morning, where he was greeted off his plane by senior ministers and later stopped to speak to a crowd of supporters on the roadside.
Since last weekend's protests, authorities have carried out a campaign of mass arrests that has resulted in the detention of about 2,000 people, according to rights monitors.
Egyptian President Abdel Fattah al-Sisi. Source: AP
Calls for new protests on Friday were countered by calls for pro-Sisi, "pro-stability" rallies, the largest of which was held along a major Cairo highway that had been cordoned off east of the city centre.
Buses ferried people including company employees from Cairo and other cities to the rally, where crowds waved Egyptian flags and pictures of Sisi.
Sisi came to power after leading the overthrow of Islamist former President Mohamed Mursi, a Muslim Brotherhood leader, in 2013 after mass protests against Mursi's rule.
On Friday, he said that at some point he would request another "mandate," and Egyptians would "go out in their millions".
Sisi has overseen a crackdown on dissent that has extended to liberal as well as Islamist groups, and which rights groups say is the most severe in recent memory. Muslim Brotherhood leaders have been imprisoned or fled abroad.
