Theresa May held talks with Tony Blair just days after it was claimed the Labour former prime minister had branded her a "total lightweight".
Official records show they met on November 26 to discuss Mr Blair's former role as a Middle East envoy.
The discussion followed a report in The Sunday Times the previous weekend that alleged he was "not impressed" with the Tory PM.
Mr Blair denied the claims, insisting it was "completely not" his view and describing her as "a very solid, sensible person".
The transparency documents released by the Government also detail Mrs May's meeting with former US secretary of state Henry Kissinger in October for a "general discussion".
A raft of Fleet Street editors and television political editors were given access to the PM, the records covering October to December show.
Daily Mail editor Paul Dacre had dinner at No 10 but no-one was invited to Chequers over the period.
The records also confirm Mrs May's meeting with Nissan on October 14.
The car manufacturer announced that it was investing in production of new Qashqai and X-Trail models at Sunderland after receiving Government assurances that EU withdrawal would not affect the plant's competitiveness.
Under the ministerial code, gifts over £140 must be handed over to government departments unless the recipient pays to keep them.
Fashion follower Mrs May was given three pairs of shoes and a handbag but chose not to keep them.
The PM did, however, hand over £225 for clothing from Lady Jubie Wigan, who set up the Sugarplum Children charity for youngsters with diabetes, and £244 for jewellery from Nadja Swarovski.