Prime Minister Malcolm Turnbull says he has held a "great, in-depth discussion" with Elon Musk, after the billionaire tech entrepreneur offered to fix South Australia's energy problems within 100 days.

On Friday, Mr Musk said energy storage could solve the state's electricity problems with a Tesla battery farm, and work could be completed within 100 days, or it would be free.

He followed that up in talks with South Australia's Premier Jay Weatherill, later tweeting that he was impressed by the State Government's commitment to a "smart, quick solution".

Twitter was again the preferred medium of communication on Sunday, with Mr Musk and Mr Turnbull swapping appreciative tweets after speaking for nearly an hour.

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A statement from the Prime Minister's Office said that: "The pair had an in-depth discussion on the value of storage and the future of the electricity system".

Yesterday, Mr Weatherill said he was keen to discuss the matter further with Mr Musk and was "certainly not ruling it out".

The idea also had the support of Opposition Leader Steven Marshall, who urged Mr Weatherill to consider the proposal.

While it is not clear what an array in South Australia would cost, Tesla did deliver on a battery farm in Southern California, built using an array of 400 Powerpack 2 batteries.

South Australia suffered a statewide blackout last September, while during a recent heatwave customers were intentionally blacked out because there was not enough power to meet demand.