The group's chief global marketing and investor relations officer Nereides de Bourbon, told the Telegraph that they are in "direct contact" with Ronaldo and are aiming to bring him, or a player of his "calibre" to St James' Park.
Billionaire businesswoman Evangeline Shen is heading up BNG alongside Terence and Nelson Loh, with reports emerging over the weekend that they have made an initial £280m offer for the club.
The group has promised to "massively contribute to the development of the club".
This latest bid comes after Saudi-backed takeover bid fell through, with the consortium pulling out after the Premier League took over four months to consider their proposal.
Premier League chief executive Richard Masters made his first public comments on the takeover after it collapsed, responding to local Labour MP Chi Onwurah whose constituency includes St James' Park.
Masters wrote: "The Premier League board made a clear determination as to which entities it believed would have control over the club following the proposed acquisition.
"Subsequently, the PL asked each such person or entity to provide additional information, which would then be used to consider the assessment of any possible disqualifying events.
"In this matter, the consortium disagreed with the Premier League's determination that one entity would fall within the criteria.
"The PL recognised this dispute and offered the consortium the ability to have the matter determined by an independent arbitral tribunal if it wished to challenge the conclusions of the board.
"The consortium chose not to take up that offer. Later, it (of the PIF specifically) voluntarily withdrew from the process."
Masters rejected accusations from Amanda Staveley that rival clubs put pressure on the league to block the takeover, adding they had "no role whatsoever in the approval process."