The provincial ministers met over dinner Sunday night in Ottawa and will continue talks Monday.
The Trudeau government will try to hash out a new health accord and funding formula.
So far, the two sides have appeared to be many billions of dollars apart.
But Quebec Finance Minister Carlos Leitao says despite differences, he expects an agreement Monday because enough time has been spent discussing the issue.
Saskatchewan’s Finance Minister, Kevin Doherty, also believes both sides are closing in on a deal, especially since the federal Liberals invited health ministers to Ottawa to participate in the annual finance ministers meeting.
However, Doherty is concerned the Federal government wants to dictate all of where the money’s being spent on in a provincial health-care system.
Ontario Premier Kathleen Wynnehas proposed a new 10-year federal funding plan that would see Ottawa’s health transfers increase by 5.2 per cent a year.
In exchange, Wynne said the provinces would commit to spend the money on priority areas agreed on with Ottawa, such as mental health and home-care services.