We present new evidence for events with a rapidity gap between jets in pbar-p collisions at sqrt s = 1.8 TeV based on data collected by triggering the Collider Detector at Fermilab on two high transverse momentum forward jets and results of a search for diffractive W^+/- and dijet production where diffraction is tagged by the rapdity gap technique. We also present the results of a search for diffractive dijets using data collected by triggering on a very-forward particle in the recently-installed roman-pot detectors. The dijet events exhibit additional diffractive characteristics such as rapidity gaps and boosted center-of-mass system, however the recoil antiproton measured in the roman-pots is in a regime in which the non-pomeron contribution is significant.