  We present a review of the Supergiant Fast X-ray Transients (SFXT) Project, a
systematic investigation of the properties of SFXTs with a strategy that
combines Swift monitoring programs with outburst follow-up observations. This
strategy has quickly tripled the available sets of broad-band data of SFXT
outbursts, and gathered a wealth of out-of-outburst data, which have led us to
a broad-band spectral characterization, an assessment of the fraction of the
time these sources spend in each phase, and their duty cycle of inactivity. We
present some new observational results obtained through our outburst
follow-ups, as fitting examples of the exceptional capabilities of Swift in
catching bright flares and monitor them panchromatically.
