Prime Minister Scott Morrison has invited US President Donald Trump to visit Melbourne in December as the two leaders canvass rising security concerns with Iran and the danger of a global trade war.

Mr Morrison asked Mr Trump to fly to Australia to attend the President’s Cup golf tournament, seizing the opportunity to strengthen ties with the President during their working dinner on Thursday night.

US President Donald Trump is a keen golfer. Credit:AP

The Prime Minister emerged from the meeting to declare Mr Trump did not seek Australian military help in the rising tensions with Iran, although the security challenges with Iran and North Korea were canvassed during the meeting.

The President’s Cup is played at different locations every two years and will be held this year at the Royal Melbourne Golf Club from December 12 to 15 - the same venue used for the event in 1998 and 2011. The US team will be captained by US golf champion Tiger Woods.