Vit counselling of the first phase started in the 9th May to 11th May 2019 and the second phase of counselling will be started from 14-18th and so on. The phases decided upon your rank which you get in entrance exam of VIT  that is VITEEE.

BITSAT counselling most probably will be started on 20th June. 

All the best dear

Hello 

As per the information the counseling for VITEEE will be in may ( date is distributed according to the rankwise).

You can see here:

https://engineering.careers360.com/articles/viteee-counselling/amp

And for BITSAT counseling will be after mid June.

So don't worry .it will not clash.

Good luck.