Can one trademark application cover the UAE and other countries?

Yes — the UAE is a member of the Madrid Protocol, the international system that lets you seek trademark protection in many countries through a single application. Using Madrid, you file one international application based on a home (or base) mark, designate the countries where you want protection, and each designated country's office then examines the mark under its own laws and can accept or refuse it. The UAE can be designated by foreign applicants, and UAE-based applicants can use their UAE trademark as the basis to extend protection abroad. This is usually cheaper and simpler than filing separately in each country, though it is not truly a single "worldwide" trademark — protection still depends on each office's decision, and a problem with the base mark in its first years can affect the others. The Madrid route is handled in coordination with the Ministry of Economy as the UAE's trademark office. For a multi-country strategy, including which countries and classes to designate, a UAE IP lawyer on LEXAI can map the filing to your expansion plans.