Can Manpower Registered In One State Work In Another

We are manpower suppliers having operations in Bangalore and Hyderabad. We are registered under shops and establishments in Karnataka. Can our staff in Hyderabad work under the same registration or is it mandatory to register in Hyderabad? We do not have an office in Hyderabad. How can we proceed if we need to register in Hyderabad? We have registered all staff in Hyderabad under esic and EPF as these are centralized.

Contract Labour license is issued by the state government for a specific place. For every place you need a separate license. So working out of state with the same license is definitely not possible.
Whether the Telangana government will give you a license without a local address you need to see by speaking to the labour commissioner there. If not, you need a local address.
Also remember you need compliance under interstate migrant labour act.