The proposals aim to bring the city in line with European cultural destinations such as Bruges, Avignon and York and create a convention centre to rival those in neighbouring Manchester and Liverpool.
Developers propose that the new venue be built on the site of the Little Roodee car park and members of the council's executive will be asked to back a four-month feasibility study into the blueprint.
The project is likely to be funded by the local council, the Arts Council, North West Development Agency, Chester Renaissance and the private sector.
If plans for the conference centre go ahead, the venue's capacity would exceed anything that Chester currently offers.
Meanwhile, a new £3 million conference and performance centre in Wales is set to be officially opened later this month, the Daily Post reports.