"If it's true, I would welcome it," Japanese Finance Minister Taro Aso told reporters before Trump's tweet. Aso added that the facts needed to be verified.
Trump "is a person who could change temperamentally, so he may say something different the next day", Aso said. Japan's Trade Minister, Toshimitsu Motegi, warned it would be difficult to renegotiate, saying the TPP was a well-balanced agreement based on the varying interests of the signatory nations.
Australian Prime Minister Malcolm Turnbull said it would be "great" to have the US back in the pact though doubted it would happen.
"We're certainly not counting on it," Turnbull told reporters.
New Zealand Prime Minister Jacinda Ardern, noting the progress made by the 11 countries after Trump abandoned the deal, also flagged challenges to the US rejoining the pact.
"If the United States, it turns out, do genuinely wish to rejoin, that triggers a whole new process," she told reporters in Auckland.
"There would be another process and so, at this stage we are talking hypotheticals."
The TPP, which now comprises 11 nations, was designed to cut trade barriers in some of the fastest-growing economies of the Asia-Pacific region and to counter China's rising economic and diplomatic clout.
Trump criticised the TPP as a "horrible deal" and pulled the US out of the pact in early 2017, saying bilateral deals offered better terms for US businesses and workers.
Trade experts believe Trump is probably trying to placate his political base in the wake of criticism over the US-China tariff standoff.
- AP