Sorry but i doubt you know much about the Bangladesh economy. india has made very little FDI in Bangladesh, most of the investments from the likes of tata, reliance etc have not materialised and are unlikely to. india has provided soft loans to purchase goods and services from india (to help their industry) but not much in the way of direct investments.
Chinese companies have already began the process of shifting manufacturing to Bangladesh, this is why they have asked the Bangladesh government to allocate land to setup multiple EPZs in Bangladesh, not a easy thing to do considering the size of land they need and the cost of land in Bangladesh and the infra that will be needed.
The main countries that are looking to invest in setting up new dedicated EPZs according to BEPZA are in order:
1. China
2. South Korea
3. Taiwan
4. Japan
5. India
6. Malaysia
I recently went to HK and ShenZen to buy 2 unused/new surplus German automated looms, a Chinese company ordered. When we went to inspect them, we found out they had 12 of them all boxed and less them 8 months old....we bought all 12. Now we are in talks with the company to shift a major part of their production to our Gazipur factory.