Under the proposals, two 19th century Grade four listed town houses which make the front of the former Colesberg Hotel on Rouge Bouillon would be refurbished to create seven apartments.
A 1970s extension along Roussel Street would be demolished and replaced with nine apartments and three maisonettes.
The Colesberg last operated as a hotel in 2000 and has been empty since 2015.
As part of the plans, a small section of the listed building would be demolished, and the existing and new development would be linked by a glass box.
The homes in the new building would have floor-to-ceiling windows, at least one private balcony and coloured panels on their façade.
The plans, lodged by Stephan Beddoe, who ran the hotel, state that in total there would be 13 one-bedroom and three two-bedroom apartments and three two-bedroom maisonettes.
A total of 14 parking spaces – comprising one for each home in the new section and two visitor spaces – would be created in a ‘semi-basement’ private garage.