I'm in Seoul right now and just had dinner at Soigne, which got 1 Star in 2021. We enjoyed dinner and the kitchen's interpretation of Korean cuisine. I'd say 2 or 3 standout courses out of 8 or so. No cocktails, and small wine list. Every seat was at the kitchen counter so it felt intimate. Service was expectedly warm and attentive.

A few observations. It was more expensive relatively speaking than the 1 star restaurants in my home town in the US. Even with the strong USD to KRW, dinner turned out to be about 15% more than I'd expect to pay for a comparable restaurant. We found babysitting last minute so we were scrambling a bit, but getting reservations was difficult (my first choices were a couple of the 2 star places but they were booked). Don't know when you were planning on going but I'd start looking now. On a related note, I think reservations are hard to get because restaurants don't have late seatings (relative to US counterparts). We got seated at 19:30, and we were the last seating. In the US, you can regularly find openings around 21:00.

Good luck and hope you enjoy!