Nobody has ever conquered the entire Near East, but many have conquered most of it or all civilized areas within it. Please resubmit your question with a date or culture for more information.
Japan invaded the entire area around East and Southeast Asia.
Greek culture spread to Egypt and Asia Minor when Alexander the Great conquered the region.
Cyrus the Great conquered the ENTIRE Middle East, Egyptian empire, and parts of India, China, Mongolia, Russia, and Greece. Xerxes the great conquered Greece and opened the door to Europe for Persia. Sassanid also was famous for conquering the far east. Also: Darius
The Muslims conquered Iraq, Iran, and Siberia.
Parts of it, not the entire country.
The Mongol Empire - Mongolia Conquered Asia,Eastern Europe, and the Middle East
The Romans conquered all the lands of Europe from the Atlantic ocean to the Rhine river. (Even though they did penetrate across the Rhine, the Rhine was considered their border) They controlled all of North Africa and the entire Middle East to the Black Sea.
Most of the East and West of Europe
Ancient Rome conquered most of modern-day western and central Europe, all of North Africa into Egypt and the Middle East, and all of the Mediterranean islands. They did not, however, extend their control beyond the far Near East, that is, beyond eastern portions of what is now known as Iran, hence cannot be properly said to have conquered Asia at all.
Eritrea is a country located in Africa on the Red Sea near the Middle East. It used to be part of Ethiopia but went to war for independence.
The Sultan of Oman.
The Sultan of Oman.