The Ottoman Empire was very active in both Asia and Africa. A recent work that's very good on just this topic is historian Mostafa Minawi's The Ottoman Scramble for Africa: Empire and Diplomacy in the Sahara and the Hijaz. The Ottomans were mostly active in East Africa and, in Asia, were hemmed in by the Russians and the Persians, but they administered, extended, and competed with the best of 'em.

My guess is that you're wondering why the Ottomans didn't establish colonies around the world the way French, Dutch, British, and Iberians did, via fortresses that were rented from local polities, and slowly, over centuries, expanded into colonial possessions, correct?

The short answer is that the Ottomans didn't really need to seek out new ways to establish trade global links the way the Western Europeans did because they governed over a territory that included most of the world's most important overland trading routes.