The "Limited Sport Edition" was in fact a package that could be ordered with any motorisation, starting from the 118d up to the 130i (source: official BMW price list, click
). But the LSE is ... limited (albeit 2000 pcs), so it wouldn't surprise me that this version wasn't available on every market.
In fact, it's not much more than the M Sports Package with the 216M 18 inch alloys, the "exclusive" paint (carbon black metallic was the only paint choice for the LSE), the matte chrome window surroundings (a regular option on the normal 1-series with M sports package) and the start button bezel with "limited edition" engraved. It could only be ordered with the front+rear PDC. The rest is M Sports Package, even the upholstery (but leather upholstery could be taken as an option, except the beige interior/leather that could not be ordered for the LSE).