There are many options.
You may even be able to do it at your home.
Even if a company is small, automation plays an important part in the manufacturing and processing of final products. Any instrumentation engineer can complete his/her internship.
If you are interested in gaining insight into the same field, then contact nearby government PSU factories. Students can also do their internship at a thermal power plant, nuclear power plant, or any other company that produces any type of chemical or electronic products.