"These are still very small compared with our set targets," says Finance Minister Sri Mulyani Indrawati.
Political analysts also say Widodo will use his second State of the Nation address to urge Indonesians to continue supporting him.
The Indonesian leader has urged cabinet members not to let the number of hotspots rise, adding that handling them will be difficult once they get to the thousands.
An Indonesian government official told online news portal detik.com on Sunday (Aug 7) that the sailor was the captain of a shrimp fishing vessel.
Indonesia's Deputy Coordinating Minister of Maritime Affairs and Resources Arif Havas Oegroseno says the country has no dispute with China and is merely defending its interests.
Head of Presidential Staff Teten Masduki told reporters he has informed the president about the cases, and that Mr Widodo has asked the national police chief and Environment and Forestry Minister to follow up on them.
Indonesian Vice President Jusuf Kalla on Friday (Jul 22) reiterated his call to neighbouring countries to help Indonesia tackle forest fires.
Santoso, whose real name is Abu Wardah, publicly supports the ISIS terrorist group. He has been on the run for three years and is believed to be hiding in the forests of Poso.
Philippines is a major customer of Indonesia, and it is not easy to find other buyers amid the economic slowdown, says Executive Director of Indonesian Coal Mining Association Supriatna Suhala.
"If we don’t do this quickly, there could be a lot of claims that could disrupt the integrity of Indonesia," says the Coordinating Maritime Affairs Minister.