The Scotland boss has also added former Glasgow favourite Andy Hall who has been in good form with his new club Newport Gwent Dragons. The squad are preparing for games against Argentina, Samoa and New Zealand next month.
Graeme's place in the squad comes at the expense of clubmate Andy Craig who is unlucky to miss out.
Frank Hadden is convinced Graeme can seize his chance to impress in training next week.
Hadden added: "The word 'potential' is always used when referring to Graeme Morrison and I am giving him an opportunity to start to fulfil that potential."
Graeme was delighted to have been included in the squad after only recently returning from a shoulder injury.
He said: "I thought that given my recent injuries I might not get a look-in again until the Six Nations as, until last week, I had not started a game for eight months so I will just see what happens.
"I had surgery on my shoulder and we initially thought I would be out for six weeks, but it turned out to be more complicated than first thought and turned into months rather than weeks.
"Then, during that time I had a bit of an accident as someone shut a door on my hand.
"When I first got injured I was pretty down in the dumps but it turned out to be a bit of a blessing in disguise as it meant I was able to focus on fitness and I lost some extra weight I was carrying by doing a lot of work on the bike so I am returning fitter and a few kilos lighter."
Andy Wilson, Donnie Macfadyen, Jon Petrie and Euan Murray miss out through injury.
Scotland squad for training at Murrayfield from October 31 to November 2 is:
Backs: Blair (Edinburgh Gunners), Cusiter (Border Reivers), Danielli (Border Reivers), Di Rollo (Edinburgh Gunners), Godman (Edinburgh Gunners), Andy Henderson (Glasgow Warriors), Sean Lamont (Northampton Saints), Rory Lamont (Glasgow Warriors), MacDougall (Border Reivers), Moffat, (Border Reivers), Graeme Morrison (Glasgow Warriors), Dan Parks (Glasgow Warriors), Paterson (Edinburgh Gunners), Southwell (Edinburgh Gunners), Webster (Edinburgh Gunners).
Forwards: Brown (Border Reivers), Paul Dearlove (Glasgow Warriors), Douglas (Border Reivers), Ford (Border Reivers), Andy Hall (Newport Gwent Dragons), D Hall (Edinburgh Gunners), Craig Hamilton (Glasgow Warriors), Gregor Hayter (Glasgow Warriors), Hogg (Edinburgh Gunners), Jacobsen (Edinburgh Gunners), Kellock (Edinburgh Gunners), Kerr (Leeds Tykes), Scott Lawson (Glasgow Warriors), MacLeod (Border Reivers), S Murray (Edinburgh Gunners), Smith (Edinburgh Gunners), Taylor (Edinburgh Gunners), White (Sale Sharks)