Morrisons Daily has been opened the store, which is situated at a Crewe petrol station, in partnership with the Motor Fuel Group.
The Motor Fuel Group operates nearly 373 petrol stations across the UK.
Four more stores are expected to open as part of the pilot scheme.
Morrisons sold its 140 M Local convenience stores to a team led by Mike Greene for £25 million.
Greene, a former chairman of the Association of Convenience Stores, is also chairman of online retailer Drink Supermarket and wholesaler HT & Co Drinks.
The M Local stores recorded an operating loss of £36 million in 2014/15, and were expected to lose some £23 million in the current financial year.
At the time of the disposal, David Potts, Morrisons’ chief executive, said: “Morrisons learnt much from its entry into the market, but M Local was unable to scale.
“However, we remain open to other opportunities in convenience in the future.”
The new Morrisons Daily store will be open 24-hours a day. It has 1,200 square feet, and will sell a range of groceries as well as sandwiches and ready meals.
Greene has criticised the management of Morrison’s M Local stores, saying the Bradford-based multiple had brought in supermarket people to run a convenience-store business.