New Zealand born Ediie joins from the Canberra Vikings having also been attached to the ACT Brumbies. He qualifies for Scotland through paternal grandparents from Greenock and was the most prolific try scorer with the Vikings and also voted most valuable back of the season.
When Eddie is not required by Glasgow he will play for Premiership One club side Ayr. Eddie lined up for Ayr against Glasgow on Monday night at Millbrae.
Glasgow Warriors' head coach Hugh Campbell said: "We're delighted to welcome a player of Eddie's calibre to Hughenden. His try scoring record for his previous clubs speaks for itself and we hope that he'll be able to continue that form while on trial with us here at Glasgow.
It has also been confirmed that Glasgow's Celtic League match against Leinster at Donnybrook has been arranged for Saturday 10 September (kick-off 5.00pm).