I'm convinced it's Jordan Importing (J.I.) based on the composite of these postings, and especially pictures from the J.I. website, some pieces of which I own and which compare favorably to the basket in terms of production quality. This however leaves unanswered the question of "who or what is J.I.?" Information from the net is somewhat confusing, describing the company as both and importer and designer of glass produced in Murano. It would be nice to know with whom they contracted (e.g., Fratelli Toso), but it seems that nobody knows.
Over the years, pieces I've seen with the J.I. label tended to be fairly mediocre and "generic" in terms of design qualities, but very good to excellent technique-wise. In my opinion.
Charles.