How to retrieve google play games ID with the new updated Google play games Gamer ID?

I have used Google play unity package for google play Service sign In. Using the profile ID(generated at sign In) I have identified the users.But as of now,the updated google Play games generates new profile ID(which starts with 'g') for the same User.Is there a way for me to identify the old profile Id using the updated Google Play Games Gamer ID.

How do I recover my Google Play ID?

Select a way to recover your username (email or phone number), enter your name on the account, and check I'm not a robot (follow the simple instructions). Then click Submit. If you enter a recovery email, you should receive the following email from Google with your username.

The short answer is there is no public way to map the Google+ ids to the gamer ids. If this is affecting an existing game that you have published, you should get in touch with your Google Business Development contact (if you know who that is), or add you information to this form which will get you in contact with someone who can help.