Capvest is in detailed talks with fellow private equity firm, EQT Scandinavia, over the possible acquisition of the frozen food company after a seven-month auction.
According to a recent report in The Times the deal, which would value Findus at around €560million, is expected to be complete by the end of the month.
The report claims Capvest is confident that a merger of the companies' activities will lead to cost savings, allowing for a potential future sale or flotation of what would be an enlarged group.
Capvest took over Young's, which has a £500million turnover, in March 2002.
The company supplies chilled and frozen food products throughout the UK to the retail and catering industry, its customers include Asda, Marks & Spencer and Sainsbury's.
Findus is a leading international frozen food producer, with operations in all Nordic markets along with those in France, eastern Europe and Thailand.
Such a deal would unite the traditional UK family favourites: Young's Fisherman's Pie and Findus Frozen Vegetables.
Findus owner EQT is one of Europe's leading private equity firms, managing around €6billion invested in 39 companies.