Coldstream bowed out of the Image Printers East of Scotland Qualifying Cup on a muddy Home Park pitch after being overrun by the Lowland League leaders in the second half.
But manager Stevie Gibbard, without the key trio of Kieran Ainslie, Josh Hebdon and Jonny Simpson, was proud of the effort and commitment of his team against such formidable opponents.
Coldstream set up with with a plan to be compact and make life difficult for the high-flying visitors, who are unbeaten at the top of the Lowland League.
Edinburgh City dominated possession, but Coldstream defended well for the most part and goalkeeper Mark Walters pulled off a superb save to deny Ross Allum when called upon.
The fluke opening goal came after 16 minutes when a City corner hit Coldstream striker John Crawford on the knee eight yards out and crept in off the post for an own goal
Although the Streamers rarely threatened in attack, Gibbard was satisfied with the first-half display after restricting City to very few clear-cut chances.
City inor’easter the tempo early in the second half, however, and doubled their lead in 51 minutes. A clumsy sliding tackle by Michael Allan on Ross Allum left the referee with no option but to award a penalty. Dougie Gair scored from the spot.
The goal lifted City, who then went for the jugular. Coldstream survived for a while thanks to Allan’s brave defensive blocks, good goalkeeping and poor finishing.
When the home side did mount the odd attack at the other end in a hopeful attempt to fight back, it left City with even more space to exploit.
As the Streamers tired from chasing on a heavy pitch, City made their domination count by adding two further goals.
Mark Osborne blasted the third into the roof of the net after good play by Allum and former Levski Sofia forward Ortega Deniran in 68 minutes.
John Dunn grabbed the fourth in the last minute to round off a well-deserved win for the visitors.
Coldstream: Walters, Johnson, Graham, Allan, Dixon, Tweddle (R McLeod 75), Heugh, Neill, Crawford (Oliver 66), O’Neil, Strangeways (Rutherford 81). Subs not used: Clowes, Gibbard.