Nope they can't garnishee your wages without a court order. Whoever it is is blowing smoke up yer behind. By communicating with them you are extending the Statute of Limitations in Ontario.. after 2 years they can't do diddly.
From here on in, don't talk to them period. Your original debt has been written off already. Global likely bought it for 10 cents on the dollar.. and they can't legally commence legal action without the consent of the original creditor and considering the cost of a lawyer I highly doubt Global is going to launch legal action when it costs $2000 or more for a lawyer and their debt purchase is $600.. the judge would laugh em out of court.