Also read: Highest bid price for Sehwag
Clarke and Sangakkara's names were missing from the capped players' list announced by IPL.
The highest bid price is Rs 2 crore and Rs 30 lakhs is the lowest.
Clarke has previously played for the now defunct Pune Warriors while Sangakkara was captain of Sunrisers Hyderabad.
According to a report in "Sydney Morning Herald", Clarke wants to concentrate on his international career with a packed schedule leading up to the 2015 World Cup.
Clarke is intent on "freshening his mind and body" for Ashes defence and World Cup, the report said.
IPL 7 Player Auction will take place in Bangalore on February 12 and 13.