The 23-year-old is out of contract at Ashton Gate this summer. But Bristol City have the option to extend his contract by another 12 months.
They value Semenio at around £12m and the striker has also attracted interest from Premier League side Bournemouth.
Semenio has scored six goals in 24 appearances in all competitions for City this season.
His most recent goal came in Saturday’s 1-1 FA Cup draw with Swansea.
However, Nigel Pearson’s side struggled with league form. And now it’s only 3 points above the relegation zone UFABET
Burnley, meanwhile, sit at the top of the Championship with Kompany’s side five points clear of second place.
The Clarets have been following Semenio in the Championship for some time now and have also seen him at the World Cup in Qatar.
The versatile striker made two appearances as a substitute for Ghana but was unable to help his homeland qualify for the knockout stages. Because the Black Star General finished the bottom of Group H.
Semenio has started this season in hot form, scoring 3 goals in his first 4 games on the field. Plus extending to the beginning of 2023. Before ending his career with Bristol City by scoring 4 goals from the last 5 games with the club.