Interesting that this question is there in many places.
South India was very much "touched" by the Mughals, especially Aurangazeb, who made it a point to expand his empire to the logical boundary of India.
After he conquered Bijapur, Aurangazeb set up two Subahs in the deep south. Nawab of Sira in Karnataka oversaw the South-Western possessions and the Nawab of Arcot in Tamilnadu oversaw the South-Eastern possessions. In addition there were smaller Nawabs of Adoni, Gutti, etc
One person who fought Aurangazeb was the queen of Keladi on the Western Ghats, Chennamma. She is famous for giving shelter to the fleeing Rajaram, son of Shivaji and ensure his passage to Jinji. The Alamgir had to sue for peace, which he normally never did.
Remarkably, Rajaram and the Marathas withstood a siege of Auragazeb in Jinji (Gingee) in Tamilandu for 8 years, but ultimately had to quit the fort in 1698. After this fall there was very little resistance.
The shrewd Chikka Deva Raja of Mysore courted Aurangazeb and got his seal of approval from the Mughal overlord. Below was this throne with ivory presented from Aurangazeb.
Maratha Kingdom of Tanjore, founded by Shivaji's brother, also had to accept Mughal Suzerainty in the early 1700s. Below is a Mughal Tanjore painting.
Lastly, Madurai Nayaka dynasty also had to accept Mughal overlordship.
Mughals thus changed the course of South India permanently.