About 2 months ago, I resigned from my previous job and went on an extended vacation. A week prior to my last day, I went for an interview with a prospective employer. My previous employer is a financial services company while the prospective employer is a technical systems integrator company.
During the interview, one of the interviewer asked me about some of the project I was involved in at my previous workplace. I went ahead and explained some of the project I was involved in thinking that what we are about to discuss will be private and confidential. Furthermore, there was no NDA signed between me and my previous employer when I worked on any project and I thought it will be okay for me to talk about it as long as I do not disclose too much information.
5 days ago, I got a call from the manager of my previous workplace. He asked if I had disclosed any information about a project I had worked on. I admitted to him that I did during an interview and I was explaining my role as the project implementer in those projects. I further explained that I did not reveal anything in detail e.g. cost of the project, vendors involved, names of the project manager and accountable executives and other sensitive information. He did not ask much after that and we ended up talking a little bit about my vacation.
Then on Monday, I got an email from my previous employer, requesting me to stop sharing details about any project I was involved in, even though I am no longer with the company. I was shocked and called up the prospective employer to seek clarification. They admitted to using the information given by me during the interview to approach my previous employer for business opportunities. I explained to them what transpired and they assured me that they will instruct their business development team to stop using any information that originated from me when approaching any prospective clients.
Would it be appropriate for me to clarify the situation in response to the letter even if I had already clarified earlier on with the manager from my previous workplace? If yes, how should I approach them? Should I get the prospective employer to clarify with my previous employer as well?