Pedro Moutinho grabbed a double as Falkirk comfortably progressed to the CIS Insurance Cup third round with a five-goal demolition of Cowdenbeath.
The Second Division side held on until Liam Craig's thunderous 35th-minute strike from 20 yards.
Moutinho rounded goalkeeper David Orr to score before Markus Paatelainen fired Cowden's best chance wide.
Mark Twaddle headed home and Moutinho fired in before substitute Mark Stewart's 18-yard drive ended the rout.
Cowdenbeath: Orr, Baxter, Gomis, Hughes, Kevin McBride, Patrick Scullion, Paatelainen, Fotheringham (Fusco 45), Smith, Paul McBride (Clarke 45), Buchanan.
Subs Not Used: Ellis, Guy, Allison.
Falkirk: Higgins, Ross, Barr, Milne, Scobbie (Twaddle 72), Lima (Mcstay 78), Cregg (Stewart 82), Craig, Thomson, Latapy, Moutinho.
Subs Not Used: Rodrigues, Lambers.
Goals: Craig 35, Moutinho 50, Twaddle 74, Moutinho 81, Stewart 84.
Ref: E Smith