Some excellent Zimbabwean bowling (Peter Rawson 9-3-16-3, John Traicos 10-2-19-3) saw them dismiss Kenya for 82, cruising to a seven-wicket triumph with more than half their overs remaining.
In the other Group A game, Jahangir Shah took 4-37 for Bangladesh but could not stop Malaysia making 239 (Asgari Stevens 68, Yazid Imran 64); DP John took 5-40 as the Bangladeshis slid to a 57-run defeat despite Rafiqul Alam's 51.
4-21 from England's future nemesis Eddo Brandes restricted Denmark to 146, a total which the Zimbabweans cruised past inside 35 overs, Grant Paterson making 86 not out.
The other match on this day, playing in Leicestershire at Egerton Park, saw Malaysia bowled out for 89 by Zimbabwe (Brandes 4-13, Rawson 4-22) who reached their target with little drama for the loss of just two wickets.
Extras top-scored with 29 in Argentina's poor total of 122 against Bangladesh; the Asians had no problem knocking off the runs, Raqibul Hasan hitting 47 not out as they glided to an eight-wicket victory with more than 20 overs in hand.
Solid contributions throughout the order (six men passed 20; Mortensen an unbeaten 55) guided Denmark to a good-looking 265/8 against Malaysia, despite Stevens' haul of 4-48, and it was too much for their opponents, who lost their first three wickets for 18 and were eventually dismissed off the penultimate ball for 178, 87 runs behind, despite V Vijiyalingam's 51, his only Trophy half-century.
An ICC Trophy record 172 from Simon Myles, who put on 174 for the third wicket with Nigel Stearns (62) guided Hong Kong to 324/5, and 63 from Gibraltar's Gary De'Ath made no difference to the result as they finished on 180/5, 144 runs adrift.
The Netherlands won another one-sided game as they made 271/6 (RE Lifmann 98, RJ Elferink 64) and then ran through Papua New Guinea's batting, Paul-Jan Bakker taking 5-18 as PNG were bowled out for a mere 52.
Bermuda became the first team to pass 400 in the ICC Trophy as they flayed Hong Kong's bowlers to the tune of 407/8, with Noel Gibbons making 125 not out and Ricky Hill 84, though Bob Fotheringham did take 4-51.
Outstanding figures of 10-6-10-4 from Bermuda's T Burgess kept Israel's total down to a measly 86, and Winston Reid plundered 63 not out as the Bermudians raced to their target in under 14 overs for the loss of just one wicket.
Papua New Guinea showed fight in their response, Karo Ao (67) and Taunao Vai (51) compiling an opening stand of 126, but then F Waithe (4-37) reduced them to 133/4 and there was no way back; Derick Etwaroo took 4-64 and PNG ended on 267/9.
87 from Stearns and 80 from Myles helped Hong Kong to a good 261/7 against Canada, but a century opening partnership between Omadat Dipchand (76) and Prashad (40), plus 51 from IF Kirmani, got them to their target with four wickets and three balls remaining.
Papua New Guinea obliterated Gibraltar by the little matter of 369 runs, amassing a Trophy record 455/9 (B Harry 127, Charles Amini 97, Api Leka 69, Renagi Ila 60 not out).
CAC Browne made 57 as Fiji posted a competitive total of 251 against the United States, but an unbeaten 104 by Lashkari and 74 from Kamran Rasheed ensured a five-wicket win for the Americans.
MU Prabhudas' 5-23 for the United States against Gibraltar restricted the latter to 136; the Americans won by eight wickets with captain and former West Indies Test batsman Sew Shivnarine making 70 not out.
Papua New Guinea subsided to 48/6 before 73 from number eight batsman Raki Ila restored some respectability; nevertheless their final total of 184 was not enough, 65 from opener Ricky Hill setting Bermuda on their way to a six-wicket triumph.
Israel made a highly respectable 262 against Gibraltar, with Z Moshe making 77, Perlman 69 and S Nemblette 63, but P White's 5-48 for the Gibraltarians proved important; they won by three wickets with eight balls to spare thanks to five scores of between 35 and 49.
Hong Kong's 257/8 (Brian Catton 63, Ray Brewster) against Papua New Guinea looked good, but 55 from Vai and 50 from Maha was enough to get PNG home by two wickets with two overs in hand.
In reply, however, Zimbabwe sailed to an ominously impressive ten-wicket triumph inside 39 overs, with Paterson cashing in for 123 not out while his batting partner Robin Brown reached 61 not out.
Denmark were in difficulties at 62/4 early on against the Dutch, with Elferink claiming 3-28, but then a stand of 99 between J Morild (who was eventually run out for 86) and Henriksen (42) righted the ship and guided the Danes to 224/8.