Skipper Ryan Watson remains in the pool while Gavin Hamilton and Fraser Watts are among those joining the squad for the final two games.
Head coach Peter Steindl said: "We are continuing to monitor Craig Wright's fitness, following a recurrence of a back problem."
Steindl added: "We are looking forward to all these games, and hope continue the good form which we have struck in recent weeks on the European stage."
The ODI squad is:
Ryan Watson (captain, Forfarshire); Richie Berrington, Dewald Nel, Sean Weeraratna, Craig Wright (all Greenock); John Blain (Rotherham); Gordon Drummond (Watsonians); Gavin Hamilton (Brierley); Majid Haq (Ferguslie); Neil McCallum (Grange); Glenn Rogers (Stenhousemuir); Qasim Sheikh (Clydesdale); Colin Smith (Aberdeenshire); Fraser Watts (Carlton).
The squad to play Denmark, Italy and Norway is:
Ryan Watson (captain, Forfarshire); Richie Berrington, Sean Weeraratna (both Greenock); John Blain (Rotherham); Gordon Drummond (Watsonians); Majid Haq, Omer Hussain (Ferguslie); Giles Holmes, Gregor Maiden, Neil McCallum (Grange); Matthew Parker (Arbroath); Glenn Rogers (Stenhousemuir); Qasim Sheikh (Clydesdale); Colin Smith (Aberdeenshire).