BARCELONA — You might be able to buy a smartphone with a slightly curvy screen — both LG and Samsung have one — but now a UK company called FlexEnable is working to deliver screens that are much more curvy, and fully flexible.

The company’s booth at Mobile World Congress in Barcelona, hidden in a remote corner of the huge Fira venue, looks like the desk of a genius inventor. Screen parts, chips, and various partly assembled gizmos did not give us hope we’d see anything close to a finished product here, but a curvy LCD display, shaped like a bracelet, piqued our interest.