Is it possible to correct this issue with a corner lip lift or any other method?

Hi, I underwent a bullhorn lip lift about 4 years ago. It was a great result. Swelling for months, looked like a fish. Once the swelling settled it was apparent that the corners of my mouth were not lifted and have been left with downturned corners giving my lips a very narrow look. Is it possible to correct this issue with a corner lip lift or any other method? I have searched online and unable to identify a surgeon who does the corner lip lift in Sydney. Any advice is appreciated.