This is a question you should ask your attorney. And I am sure he/she will explain to you that this is common practice. After receiving and reviewing the discovery from the State a lawyer will next meet with the prosecutor to discuss the case and see if a beneficial plea agreement can be reached and trial avoided.
State by state and jurisdiction by jurisdiction, the answer may vary. However, in WA, where I practice, it is completely appropriate that your attorney meets with or speaks with the prosecutor about your case. Plea bargaining is a common practice in criminal defense cases, and is often helpful to your case ---- furthermore, depending on your jurisdiction, your attorney may have an obligation to negotiate and/or discuss the case with the prosecutor. You should talk to your lawyer, though, and find out why.
I am not an insurance rep and make no recommendation on any company.
Meetings are held between prosecutors and defense counsel in order to discuss various aspects of the case. In the early stages of your OWI case, the meeting may simply be to provide discovery and discuss discovery handed over to defense counsel as well as to discuss additional and supplemental discovery. Meetings could also be held in order to discuss a potential plea agreement.
In short, there are numerous reasons as to why your attorney will meet with the prosecutor. It is normally to your benefit if your attorney keeps the lines of communication open with the prosecutor.