The ALi M1386SX is a 386 compatible microprocessor. I believe it was released around 1995, rather late for a 386 but since it was targeted at the embedded market (e.g. word processors and point-of-sale systems) I imagine stability and cost were more important than performance.
Who designed the core in this chip? It could have been ALi, but I don't think they ever had a licence for x86. Was it done in-house or did they buy it from someone else?