The only two places on earth I can find that still have chattel slavery are Sudan and Mauritania. I have read reports that it still occurs in the Sahel region in general but I can't find any concrete evidence of it in other specific countries. Regardless of how abhorrent I am not asking about bonded labor, forced labor, forced marriage, discrimination, sex trade, or religious/ritual servitude.
After 2014, that is no longer the case (see @indigochild's answer for pre-2014 status); because ISIS practices what amounts to chattel slavery, on the continent of Asia. They buy and sell slaves and the slaves are considered property, which fits the chattel slavery definition.
Proving a negative is impossible, but I don't think you will find chattel slavery anywhere else.
A single counter-example would prove that chattel slavery still exists somewhere outside of Africa. However, after reading through the publications of several anti-slavery organizations I could only find the two examples you mentioned (Sudan and Mauritania).
Many organizations reported that these were the only places that chattel slavery is common. As an example, here is something from Brandeis University's sexual ethics project:
Traditional slavery, often called chattel slavery, is probably the least prevalent of the contemporary forms of slavery. According to the American Anti-Slavery Group, in Mauritania—where slavery was legally abolished in 1980—90,000 darker-skinned Africans still live as the property of the Muslim Berber communities.
The original source from the American Anti-Slavery Group was unavailable (link broken). The Berber are an ethnic group living in northern Africa, which lends some (non-conclusive) credibility to the idea that chattel slavery is practiced there, and perhaps no where else.