A ferrule type, flareless fitting is provided that may optionally be pulled-up to its assembled condition by torque rather than by turns. In one embodiment, at least one fitting component includes a structure that facilitates pull-up by torque and allows the fitting to be remade. The structure may take a wide variety of different forms. Examples of fitting component structures that facilitate pull-up by torque and allow the fitting to be remade include, but are not limited to, deformable or compressible devices or structures that are configured to increase the torque required to further tighten the fitting components when the fitting is properly pulled up, resiliently deformable structures that bias a tube gripping device into engagement with a conduit when the fitting is remade to an initial pull-up position, and plastically deformable retaining structures that maintain a tube gripping device in sealing engagement with a conduit when a fitting is disassembled.