Mr Zuckerberg is expected to agree with plans to find a global solution to digital tax, as proposed by the Organisation for Economic Co-operation and Development (OECD).
In a meeting also attended by members of the European Commission, Facebook’s founder will say on Saturday that he understands the “frustration” surrounding the taxing of tech companies in Europe.
The OECD’s plans propose that digital firms pay more tax in countries where they generate profits.
At present, the current system allows multinationals to pay most of their tax based on their physical location.
As Facebook has most of its functions and assets in the US, it currently pays the bulk of its tax there.
Mr Zuckerberg, however, will say: “We want the OECD process to succeed so that we have a stable and reliable system going forward.
"And we accept that may mean we have to pay more tax and pay it in different places under a new framework."
The US has criticised the OECD's plans, as it believes the policy discriminates against large American companies, particularly those in Silicon Valley.
According to figures from last year, Facebook paid £28.5 million in UK taxes in 2018 despite earning £1.65 billion from British advertising sales.
This figures represents just a fraction of the $3.8 billion (£2.9bn) the tech giant paid in corporation tax globally in the same year.
While the OECD hopes to have an international consensus by the end of 2020, the UK has said it will impose a temporary digital services tax from April.
Former chancellor Sajid Javid said in January this tax will be a 2 per cent levy on digital services revenue.
However, it is unclear what will happen to the proposed tax under Rishi Sunak, who replaced Mr Javid as Chancellor on Thursday.
The OECD has warned the UK against adopting the tax measure before an international consensus is reached.
Additional reporting from Reuters