This is what is given at the uptu site
Counselling The counselling will be held on the basis of merit / rank obtained in SEE-UPTU. It will be conducted online through internet in two phases. In Phase-I, which will be off-campus on-line, the candidates can
exercise their choices at place of their convenience through internet to know about indicative choice allotment at frequent intervals. Phase-II will be ON-Campus ON-Line, where eligible candidates will be required to report at prescribed counselling center for registration and final choice submission.
Online Counselling will be done at various counselling centres located at different cities in state of UP. The candidate invited for counselling is to report at counselling centre allotted to him/her. The details of online Counselling and list of counselling centres and dates of counselling will be provided to successful candidates with counselling letter.
The candidates called on counselling will be required to come with original certificates of qualifying examination, mark sheet, weightage certificate and category/reservation certificates etc. with one attested copy of each. In case the candidates do not submit the proper category/
reservation certificate in the prescribed proforma at the time of counselling, the advantage of reserved category shall not be provided and they will be treated in General Category.
After allotment of seat the candidates are required to deposit a Bank draft as part of College / Institute fee at respective counselling center within three days of issue of admission letter, falling which the seat allotted will be cancelled. Draft should be drawan in favour of Finance Officer, Uttar Pradesh Technical University, A/C SEE-UPTU payable at Lucknow. Fee deposited at counselling center will be adjusted towards the fee to be deposited at institute / college of admission.
No second counseling is mentioned. its best that you contact the authorities and get it clarified. They can help you best