Singh earlier in the evening was greeted with flowers after he landed in Ahmedabad by Modi, who aspires to replace him and become the next prime minister of the country.
"Prime Minister is greeted by the Governor and Chief Minister of Gujarat on his arrival at Ahmedabad airport," the Prime Minister's Office tweeted on Tuesday.
Singh will visit Sardar Vallabhbhai Patel National Memorial and unveil a statue and plaque at the renovated museum.
The PM has also paid tribute to Mahatma Gandhi at Sabarmati Ashram.
However, Commerce Minister Anand Sharma has written a letter and turned down the Gujarat chief minister's invite to attend another event in Gujarat on Thursday, where the foundation will be laid for a massive statue of Sardar Patel.
Sharma, in a caustic letter, accused Modi, of "misusing the name of Sardar for political propaganda."
"It is rather odd that you have attempted to brazenly usurp the rich legacy of Sardar Patel whose approach and beliefs militate against all that is personified by the Rashtriya Swayamsewak Sangh (RSS), whose nominee you are," Sharma said in his letter.
--IBNS (Posted on 29-10-2013)