The mainboard needs to be replaced.  Whether you want to do that on a system this old is up to you, but the boards are available with a 1-year warranty for under $200.  If you can change the board yourself, that may make economic sense to you.  If you have to pay for the labor to do the job, it'll add at least $100 to that and at that point, a system replacement may make more sense. Mainboards: [URL]    
Hello, I have a XPS 13 9360 and it won't switch on anymore.   What happens...     What I've tried:   I'm not sure what to do next...any ideas?    
Laptop - power light flashes but no screen or boot - HELP