Hearts endured the tension of extra-time to squeeze past Dunfermline on a night of drama at Tynecastle.
A first-half penalty from Christian Nade gave the SPL side a deserved lead over the Division One strugglers.
Hearts continued to dominate but former Jambo Stephen Simmons took the tie into extra-time with a late strike.
As Pars faded Christophe Berra restored Hearts lead before Calum Elliot sealed their place in the last eight of the CIS Cup with a quick-fire double.
Hearts: Banks, Neilson, Berra, Kancelskis, Goncalves, Kingston, Stewart (Palazuelos 29), Ivaskevicius (Ksanavicius 65), Jonsson, Nade (Velicka 77), Elliot. Subs Not Used: Kurskis, Zaliukas.
Booked: Jonsson.
Goals: Nade 34 pen, Berra 97, Elliot 100, 102.
Dunfermline: Gallacher, Young, Simmons, Bamba, Glass, Williamson (Ryan 62), Woods, Phinn (Owen Morrison 79), McBride (Hamilton 78), Crawford, McManus. Subs Not Used: Murdoch, McCulloch.
Booked: Simmons, McBride, Woods.
Goals: Simmons 84.
Att: 10,500
Ref: B Winter (Scotland).
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