One problem related to engine stall has been reported for the 1997 Jaguar XK8. The most recently reported issues are listed below.
3 times while traveling 55 to 60 mph the engine stalled while in traffic. Each time I put the transmission into neutral and unsuccesfully attempted a rolling restart. Upon getting the vehicle to a stop at the shoulder of the road I put the transmission in park and was able to complete a successful restart and resume normal driving. The loss of accelerator control and power steering while in traffic is a disconcerting experience. I was not going to report it, however I found myself doing some research on your website where I found that this same problem occurred to someone else. Upon finding that my experience was not isolated I felt that it should be reported to you. This is a well taken care of automobile driven only seven months of the year and stored for 5 months. Each time this occurred the weather was warm.