It is difficult to answer the general version of this question because often neither side is aware that there can be any misinterpretation until it has happened. I'm a Briton living in the USA, but working a lot of the time with a team in India. I am aware that there are occasionally problems, but I gave up making a list of specific examples a (long) while ago. Maybe that was a mistake.
One difference to take into account is that in England, English is the mother tongue; in America, English is likewise usually the mother tongue - Spanish is the main alternative contender. Unless I misunderstand something though, in India, English is often (normally?) the second language - learned from an early age, but after previously learning one of the many local languages first. Across India as a whole, English is the lingua franca; but within a region, there is often a local language that is used as well, or instead. Consequently, the Indian dialect of English is affected by nuances from the local languages. I notice that articles (the, a, an) are frequently omitted, as are some prepositions and other words. It isn't quite telegraphic English, but sometimes has some of the same qualities.
There are words used in America that are not used as much in England; there are words used innocuously in England that are terms of abuse in America. Euphemisms are constantly evolving. Slang and regional dialectal terms don't always transfer to other parts of the USA, let alone outside - similar problems occur in England, and I'm sure it happens in India too.
Even so, the core of English is strongly the same in all three countries. The key to clear communication is to avoid using much in the way of slang, to use clear, concise, precise terms.
The other trick is to become attuned to when there is a problem - when something isn't being understood. I regret to report that it can be difficult to spot blank faces over a telephone. Sometimes, I manage to spot the stupefied silence, but not always. However, being aware that the issue can arise is an important first step.