Kirkland Developments has submitted plans to Stockport council for a 25,000 sq ft food store in Chadwick Street in Marple town centre.
The submission of the full planning application comes after Asda submitted separate proposals for an out-of-town foodstore off Hibbert Lane.
Rod Hogarth, Kirkland Developments' managing director, said: "Our plans will increase footfall in Marple town centre, providing a boost to local businesses and creating a vibrant location for shoppers. We made several changes to the plans to reflect what residents had told us, particularly by improving the local road network and enhancing landscaping around the site to lessen any impacts on the immediately adjacent properties.
"It is now up to councillors to determine whether they believe our proposals or Asda's plans at Hibbert Lane are the most suitable for Marple. I hope that members will look favourably on the town centre store and the public backing that it has received."
Kirklands was advised by HOW Planning, Fairhursts Design Group, and Curtins.