It comes ahead of a new 10-point plan for the UK to hit net zero carbon emissions by 2050.
The report is expected to be published next week.
The government insists it remains committed to the construction of new nuclear power stations.
They are part of an overall strategy to decarbonise the UK's electricity supply.
The trilateral meeting between Number 10, Number 11 and the Business Department will discuss what form that should take.
Of the six sites originally identified a decade ago, three have seen contractors pull out and only one is under construction - at Hinkley Point in Somerset.
The government is not expected to explicitly single out which project will get the go-ahead, but officials told the BBC that Sizewell in Suffolk is the only project ready to go if the government is to hit a target of starting construction of new nuclear within this parliament.
While there is strong union support for the transfer of jobs skills and new opportunities from Somerset to Suffolk, there is considerable local resistance to a massive construction project, which activists say will pose an ecological threat to important local wildlife areas.
The government is also considering bringing forward a ban on new petrol and diesel engines from its current official target of 2040, to 2035 or earlier.
It's thought the new time frame will be somewhere between 2030 and 2034.
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