After more than one month of interviews, I accepted a job offer and I signed a contract for a new job which is gonna start from the first of May.
After I signed the contract, a big company, which answered my application very slowly, contacted me. I did two technical phone interviews and I passed them. Now I am invited for a real one-day-interview on the last part of this month.
I feel bad towards the company with which I have already signed the contract and which ignores this ongoing recruitment process.
Sometime I feel like I shouldn't go to this new interview, but this company is a very important one and it might be a key-step in my career.
What should I do? Should have already signed a contract stop me to go to this new interview?
The situation is different from one in the similar question, as I am considering the new offer, as opposed to the other question which was about just going to the interview without an intent to accept if offered: