SSP, which runs fast food franchises in hundreds of train stations across the UK, is planning to float on the London stock exchange.
The company, which owns more than 2,000 outlets, operating brands including Millie's Cookies, Burger King and Starbucks, would be the biggest this year, valuing the company at £2 billion.
SSP's private equity owner EQT is thought to be planning to offload a 25% stake, raising £450 million to £500 million.