Getting into new PhD after failing comps Last summer I failed my comps/quals of my PhD program. I did not have a chance to take a second try, as my spring semester grades were poor. The first semester (fall) was good, though. 

I could not fully concentrate on my studies during the spring semester as there were some family issues in my home country.

My advisor believes in me and said I should continue my studies. I am still very much motivated to do research in my area. 

There are couple of concerns, though. How will my poor performance in the spring semester (and consequently failing comps) affect my chances into getting to another program? How should I approach my personal statement?
Two bits of advice. 

First, your SoP should be as positive as possible without hiding the setback. Talk, as usual, about your goals and how your preparation makes you a likely success. 

But, I think more important, use your adviser's personal/professional contacts to help get you in the door somewhere. The advisor, even beyond a LoR, can boost your chances if they are willing to speak to others they know who can help you. 

If you say "I failed comps, but ..." it is an entirely different thing than a professor saying "He failed comps, but ...". The professor is putting their reputation on the line for you. It is likely to be respected.