Recent evidence of a young progenitor population for many Type-Ia SNe ( SNe-Ia ) raises the possibility that evolved intermediate-mass progenitor stars may be detected in pre-explosion images . NGC 1316 , a radio galaxy in the Fornax cluster , is a prolific producer of SNe-Ia , with four detected since 1980 . We analyze Hubble Space Telescope ( HST ) pre-explosion images of the sites of two of the SNe-Ia that exploded in this galaxy , SN2006dd ( a normal Type-Ia ) and SN2006mr ( likely a subluminous , 1991bg-like , SN-Ia ) . Astrometric positions are obtained from optical and near-IR ground-based images of the events . We find no candidate point sources at either location , and set upper limits on the flux in B , V , and I from any such progenitors . We also estimate the amount of extinction that could be present , based on analysis of the surface-brightness inhomogeneities in the HST images themselves . At the distance of NGC 1316 , the limits correspond to absolute magnitudes of \sim - 5.5 , -5.4 , and -6.0 mag in M _ { B } , M _ { V } , and M _ { I } , respectively . Comparison to stellar evolution models argues against the presence at the SN sites , 3 years prior to the explosion , of normal stars with initial masses \ga 6 M _ { \odot } at the tip of their asymptotic-giant branch ( AGB ) evolution , young post-AGB stars that had initial masses \ga 4 M _ { \odot } , and post-red-giant stars of initial masses \ga 9 M _ { \odot } .