Which lower-league club will come through this tie and reach the quarter-finals?
Dundee won all four group stage matches last month, scoring 13 goals and conceding just two.
However, the Dark Blues have subsequently been unable to carry that form into the Championship.
Gary Bowyer’s team were beaten 3-1 at Ayr United on Friday night, meaning they sit fifth in the second-tier.
Falkirk meantime won Group D, notably beating last season’s League Cup Finalists Hibernian 1-0 at home.
The Bairns come into this having won three on the bounce in League One, including Saturday’s 3-1 victory over Queen of the South.
So, Falkirk are aiming to reach the last eight of this competition for the first time since 2011/12.
Will Dundee make home advantage count at Dens Park?