At some point the new foundation would have had to become independent of Rheinau, in which process the shadowy Reginbert of Seldenbüren (died about 962), traditionally named as the founder, may have played some role.
On 8 June 1065 the abbey received a grant of immunity from Emperor Henry IV, although it had connections to the family of the anti-king Rudolf of Rheinfelden.
Bernold of Constance (ca 1050–1100) in his histories counts St Blaise alongside Hirsau Abbey as leading Swabian reform monasteries.
During the course of the 12th century however the zeal of the monks cooled, as their attention became increasingly focussed on the acquisition, management and exploitation of their substantial estates, which by the 15th century extended across the whole of the Black Forest and included not only the abbey's priories named above, but also the nunnery at Gutnau and the livings of Niederrotweil, Schluchsee, Wettelbrunn, Achdorf, Hochemmingen, Todtnau, Efringen, Schönau, Wangen, Plochingen, Nassenbeuren and many others.
The monks however, under the last Prince-Abbot Dr Berthold Rottler, found their way to St. Paul's Abbey in the Lavanttal in Austria, where they settled in 1809.