Bedford suffered late heartbreak in their opening British & Irish Cup match as a last gasp conversion by former Blue Kieran Hallett saw Cornish Pirates edge a thrilling contest, 35-34.
Mike Rayer's men travelled to Penzance on the back of two Championship victories and must surely have thought they had extended their winning run when Steffan Jones crossed for his second try which put them into the lead after 73 minutes.
They couldn't hold out though and had to make do with both a try and losing bonus point at The Mennaye after Jim Wigglesworth, Pat Tapley, Villiami Hakalo and Dean Adamson had also crossed the whitewash for the visitors.