The minimum GATE score to get admission to NITIE is different every year, but it is generally between 700-750 for all the branches. However, if you belong to any reserved category, your cutoff score could be less than the General category.
If your score is above the minimum score required, you will probably get a call for an interview. After receiving the call, you will have to appear for the GD-PI round. Your final selection and the allotment of the branch will depend upon your academic records and performance in the GD and PI round.
Hence, the GATE score required to get admission in NITIE is generally very high above 750, but all this is worth it because the college offers very good facilities and placement opportunities to ita students.