Worldpay Group, Britain's largest payment processor, said that it had received separate takeover approaches from US credit card technology firm Vantiv and JPMorgan Chase Bank.
Worldpay, which sells technology to businesses so they can take payments via cards, online or on mobile devices, said the approaches were preliminary and there was no certainty any deal would be made.
Businesses which automate payments are becoming a popular takeover target with card companies, banks and technology firms all competing in the sector.
Danish payment services company Nets said over the weekend that it had also been approached by potential buyers.
Analysts suggested other companies might now be interested in making a bid.
They said that Worldpay is a unique asset and the current interest from two US peers could also trigger the intention of parties like Google, Amazon and Apple.
Vantiv and JP Morgan now have until August 1 to announce firm intentions to buy or else walk away.
Worldpay was spun out of Royal Bank of Scotland to private equity firms Bain Capital and Advent International in 2010.
The buyout firms listed the company on the London Stock Exchange in late 2015, when it was valued at £4.8 billion.