Iran issued a "strong protest" to the UAE diplomat, saying Iran does not tolerate the facilitation of foreign forces that violate its territory, the report by the official IRNA news agency said.
The U.S. said its RQ-4A Global Hawk was shot down Thursday over international waters in the Strait of Hormuz, not inside Iranian airspace.
The shoot-down by elite Iranian Revolutionary Guard forces marked the first time the Islamic Republic directly attacked the American military amid mounting tensions over Tehran's unraveling nuclear deal with world powers.
The two countries disputed the circumstances leading up to an Iranian surface-to-air missile bringing down the drone, an unmanned aircraft with a wingspan larger than a Boeing 737 jetliner and costing over $100 million.
British diplomat Andrew Murrison planned to visit Iran on Sunday and call for the "urgent de-escalation in the region and raise U.K. and international concerns about Iran's regional conduct" during talks with Tehran's government, Britain's Foreign Office said in a statement Saturday.
"At this time of increased regional tensions and at a crucial period for the future of the nuclear deal, this visit is an opportunity for further open, frank and constructive engagement with the government of Iran," the statement said.
The announcement came a day after President Donald Trump said he had called off military strikes on Iran minutes before they were to be carried out Thursday because it would have been out of proportion to the shootdown of an unmanned American surveillance drone.
The drone incident immediately heightened the crisis already gripping the wider region, which is rooted in Trump withdrawing the U.S. a year ago from Iran's 2015 nuclear deal and imposing crippling new sanctions on Tehran.
Recently, Iran quadrupled its production of low-enriched uranium to be on pace to break one of the deal's terms by next week, while threatening to raise enrichment closer to weapons-grade levels on July 7 if Europe doesn't offer it a new deal.
In Iraq, security measures were increased at one of the country's largest air bases, which houses American trainers, a top Iraqi air force commander said Saturday. The U.S. military said operations at the base were going on as usual and there were currently no plans to evacuate personnel.
The stepped-up Iraqi security measures at Balad air base, just north of the capital of Baghdad come amid the sharply rising tensions in the Middle East between the U.S. and Iran.
On Friday, Iran summoned Swiss Ambassador Markus Leitner to hear Iran's protest over the alleged violation. Switzerland looks after U.S. interests in Iran. Tehran and Washing have had no diplomatic relations since 1979.
Iran said the U.S. drone was a "very dangerous provocation."