I have two places in mind where I got mine done 🙂 one is very Chinese friendly and the other is well known for the gangnam people.
조앤박 (Joe and Park) Chinese friendly, the most well know place for semi permanent make up in gangnam area. Pricey but doctors present at all times and great after care services.
모제림 (Mojaelim), located in apgujeong. Well know for semi permanent makeup and hair transplant. Also well know for apgujeong people. Pricey but does promotions for a more reasonable price. Doctors also present.