The second stage would be a 15-year purchase of 250 Megawatts by Minnesota Power, the Allete Inc unit, starting around 2020.
Tied to that, Manitoba Hydro would go ahead with building either the $3.5 billion Keeyask hydro station or $5 billion Conawapa facility in the province's North, company spokesman Glenn Schneider said.
Keeyask would generate 620 MW and Conawapa 1,250 MW.
The Conawapa site had previously been floated as a supply source for an export deal with neighboring Ontario.
"We haven't made as much progress in that area and this sale is on track now and we'll be moving on one of those northern projects," Schneider said.
There is no current cost estimate for the transmission line as the companies are still determining routes on either side of the Canada-United States border, he said.
The firms have one year to complete talks and sign definitive agreements. Those would be subject to approval by the Minnesota Public Utilities Commission.
Manitoba Finance Minister Greg Selinger said the deal bolsters Manitoba Hydro's exports markets, allowing the utility to keep its rates low at home. Last year's exports generated revenues of $592 million, Selinger said in a statement.
Minnesota Power said the electricity deal fits with an energy strategy laid out in its Integrated Resource Plan filed with the state last year.