Hey there!

If you had completed your 3 years diploma in any discipline with any college or university , so you are definitely eligible for taking admission in 3 year  degree UG course through lateral entry.

The bms college of engg. also offers admission through lateral entry in 3 year degree course UG.

The basic eligibility criteria is :-

A candidate who has passed Qualifying Examination i.e. any diploma examination or equivalent examination and obtained an aggregate minimum of 45 % ( for General Merit Candidates) of marks taken together in all the subjects of the final year (i.e.,fifth and six semesters) diploma examination (Q E) is eligible for admission to B E-Courses and 40% of marks in Q. E. in case of SC, ST and Backward Classes of Karnataka Candidates.

The lateral admission there is not mentioned any type of exam procedure,so the will be through the State Level Counselling held every year.

Or as it is a private or autonomous institute you can get direct admission if the seats in 2nd year are vacant or available.

here is website you can visit for further information  www.bmsce.in

or check here also for more details www.careers360.com/colleges/bms-college-of-engineering-bangalore

Hope this will help you

GOOD LUCK!