Japan’s prime minister, Sanae Takaichi, has been invited by US president Donald Trump to join a proposed international body intended to oversee the reconstruction of Gaza, according to Japan’s foreign ministry, Kyodo News has reported.

The invitation places Tokyo among more than 60 countries approached to take part in what Trump has described as a Board of Peace, an initiative unveiled last week as part of the second phase of a US-led 20-point plan for the devastated enclave. Trump is set to chair the body.

The proposal has attracted early controversy, with critics warning that the remit of the board could widen beyond Gaza and evolve into a rival forum to the United Nations in managing international conflicts. Japanese officials said Takaichi was considering whether to accept the invitation.

Israeli media reported that invitations had been sent to a broad mix of governments, including Israel, Russia, European states and Arab countries. Among those invited are Israeli prime minister Benjamin Netanyahu and Russian president Vladimir Putin, with the inaugural meeting potentially scheduled on the margins of this week’s World Economic Forum in Davos.

Other responses have been cautious. France is not expected to participate at this stage, according to officials close to President Emmanuel Macron, while China has confirmed receipt of the invitation but has yet to indicate whether it will join.

Draft rules for the board give significant authority to the US president. All decisions would require approval from Trump, who would also select participating countries. Membership terms would run for up to three years, with the possibility of renewal, while states contributing more than $1bn would face no formal term limit.