Business leaders have said the government could be doing more to encourage Indian trade with the UK.
Despite a lack of history, many European countries enjoy better trade with the fast-growing economy, and there are concerns that recent visa restrictions for students might be preventing better ties from being formed in the future.
Addressing an audience at the Chhatrapati Shivaji Museum in Mumbai, Prime Minister David Cameron has said shared commitments and the countries' close connections make Britain and India "natural partners" for trade.
The Prime Minister took a break from his trade mission in India to take part in a cricket match at the famous Oval Maidan.
He faced some ferocious deliveries from youngsters but handled them well, with former England women's captain Clare Connor saying, "he's got used to the rough surface very quickly" and adding "that's a brilliant cover drive."
Mr Cameron's middle stump eventually fell to a fast ball from a young bowler named Sachin - possibly in homage to India's cricket hero Sachin Tendulkar.
The Prime Minister said: "It was good fun and it's a great place to play. I knew I was in trouble when they brought on that third bowler though."