The tourists, fresh from their Test series win over England, were set a target of 297 by England Lions in their final game before the series against England gets under way in Southampton on Tuesday.
But India had just 6.5 overs at the crease with openers Robin Uthappa (12) and Sourav Ganguly (18) putting on 31 before the heavens opened and the game was abandoned.
Ganguly smashed three fours on his return to the ground where he spent just over a month last year playing in the English County Championship.
Earlier, Lions skipper Vikram Solanki (60) and Luke Wright (56) hit half-centuries as the hosts made 296 off their 50 overs.
Wright made his runs off just 40 balls as he and opener Solanki put on a second-wicket partnership of 96 after the early loss of Darren Maddy for six.
Ramesh Powar took three wickets as the hosts stumbled to 149 for five before Ravi Bopara (37) and Paul Nixon (39) put the home side in charge.
In the absence of Rahul Dravid, Mahendra Dhoni was captain for the day and he opted to bowl first in overcast conditions.
"I don't think it is going to be too difficult for us to adjust from playing Test matches to one-day cricket," Dhoni said.
"There are some differences but I don't think we will find it a problem.
"I think it's going to be a good series because England are a good side, and performing well against them is always going to be a good challenge for us."
But India's wicketkeeper admitted the rain here had been a frustration.
"Naturally, we were disappointed that the batsmen did not get a chance," said Dhoni.
"But we have some good batsmen and that will show in the one-day series."