Vista Equity Partners has been left as the only contender in the bid to buy Misys, after rival private equity firms CVC and ValueAct Capital abandoned their joint effort.
UK software giant Misys agreed a £1.27 billion deal with Vista last month, but CVC and ValueAct remained in the running for another fortnight until the time ran out for them to table a higher offer.
The Misys-Vista merger is expected to go ahead, but nothing is guaranteed - a former merger plan between Misys and Swiss financial software counterpart Temenos collapsed in February after advanced talks broke down.
News that only Vista was left in the running sent Misys shares down nine percent to 349 pence yesterday, as analysts had expected alternative offers to be raised.
Vista has said it will combine Misys with its Turaz business, which sells trade and risk management software and was formerly owned by Thomson Reuters.
Robert Smith, chief executive at Vista, said last month that Misys "has an attractive future that we plan to invest in and grow".
"With the combination of Misys and Turaz, one of our existing portfolio companies, we are creating the global leader in core banking, treasury management, capital markets and enterprise risk management software headquartered in the global banking centre, London," he added.
Misys acting chief executive Tom Kilroy told Reuters that the Vista offer "is likely to be the best deal available to Misys and its stakeholders", adding: "If any other company made an offer, we would of course talk to them, but we think it is unlikely this deal will be bettered."
Misys shareholders will vote on the Vista proposal on 24 April.
Angela Eager, research director at analyst house TechMarketView, said recently that with Vista being determined to lead in several financial software categories, it would remain "hungry for acquisitions".
She added: "The troubled sector is crowded - in addition to Temenos, Infosys and TCS provide banking software, as do SAP and Oracle. Now Vista is emerging as another potential contender."