Dundee defeated Falkirk 3-0 on Thursday evening to become the first club to book their place in Tuesday's draw for the SPFL Trust Trophy quarter-finals.
Zak Rudden opened the scoring from the penalty spot after just five minutes and the ex-Partick Thistle forward struck again soon after to put Gary Bowyer's men in control.
Finlay Robertson rounded things off for the Dark Blues with a fine finish from outside the box with 13 minutes remaining at a freezing Falkirk Stadium.