Sri Lanka were originally scheduled to play three Tests and seven One-day Internationals in October-November on their first full tour of India since 1997.
But the International Cricket Council's (ICC) Super Series between Australia and the World teams in October and South Africa's five One-dayers in India in mid-November have forced the Board of Control for Cricket in India (BCCI) to propose a split tour by Sri Lanka.
According to the proposal, Sri Lanka will now arrive in India in the last week of October after the ICC Super Series to play seven One-day Internationals and come again in December for the three Test matches.
"The split tour proposal by the BCCI is being considered by us," a Sri Lanka Cricket (SLC) official said on Friday.
The proposal could see India playing as many as 12 One-day Internationals at home in November -- seven against Sri Lanka and five against South Africa.
South Africa's One-dayers in India are scheduled between November 17-29.
India are already due to tour Sri Lanka for a triangular One-day series from July 30-August 9 and visit Zimbabwe for two Tests and another tri-series from the end of August.
The ICC Super Series in Australia includes three One-dayers in Melbourne on October 5, 7 and 9 and a six-day Test match in Sydney from October 14-19.