Dunfermline goalkeeper Paul Gallacher performed heroics to help the Pars clinch a point at Dens Park.
Gallacher marked his first game since making his move from Norwich permanent with a number of stunning saves to thwart Alex Rae's side.
Dundee dominated the first half and Derek Lyle's header in the 39th minute cannoned back off the crossbar.
The visitors improved after the break and Jim Hamilton spurned a great chance from close range to seal the points.
Dundee: Samson, Worrell, Palenik, Malone, Dixon, Daquin, Robertson, McDonald, Swankie (Zemlik 73), Davidson (Sturm 63), Lyle. Subs Not Used: Roy, Gates, Rae.
Dunfermline: Gallacher, Woods, Scott Thomson (Wilson 65), Harris, Murphy, McGlinchey (Williamson 77), Simmons, Crawford, Scott Morrison, Burchill, Hamilton (McIntyre 77). Subs Not Used: Murdoch, Phinn.
Booked: Hamilton, Murphy.
Ref: J McKendrick