Turnbull appeared bemused after receiving the silk necktie from a member of the congregation at the St Mark Coptic Orthodox Church in Sydney.
Turnbull had a famously difficult first telephone call in January with Trump, who became irritated that he was expected to honour a refugee resettlement agreement made by his predecessor, Barack Obama.
Trump broke off what was supposed to be an hour-long call after 25 minutes and later tweeted that the refugee deal was "dumb".
When the two leaders met face-to-face in New York in May, Trump said that their first phone call "got a little bit testy" but they now "get along great".
Last week, the White House brushed off news a leaked video of Turnbull making fun of Trump during a news media ball in the Australian capital Canberra that was supposed to have been off the record.
Prime Minister Malcolm Turnbull holding up the tie (AAP) Source: AAP
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