as far as my knowlege of 131 goes, and i bought it two weeks ago, whole rear suspension is very simmilar (exactly the same as far as i can tell) to lada 2101/ 2102....07 and so is the axle. if you consider a fact that 180 million russians drive mostly lada's and on icy or snowbound roads for 6 months a year, lsd is a logical way to go. there is a company in russia that produces a torsen (torque sensitive) diff for lada and it costs abouth 250 us$. it seems to be a copy of quaife torsen diff.
http://okb-dvigatel.ru/differential.phtml it's in russian but pictures say all. since i also speak russian i contacted them and got the price. and in case that this diff doesn't fit the 131 diff housing, fitting a lada rear axle on a 131 should be a one day job.
here's a link to an italian company that has a lsd for 131:
http://www.bacciromano.com/index.php?p=prodotti&l=eng&cat1=25&cat2=92 although the price is a bit steep
as i have heard, all fiats produced by steyr austria have lsd's but i can't confirm that. a guy i know said that i guy he knew once had a steyr fiat argenta with a lsd.