Bashir and his South Sudanese counterpart, Salva Kiir, last week signed deals on security and cooperation that they hailed as ending their countries’ conflict.
A 22-year north-south civil war led to a 2005 peace deal and South Sudan’s independence in July last year, but tensions over oil and other issues lingered.
Meanwhile, a Sudanese military plane carrying equipment and personnel to the strife-torn western region of Darfur crashed Sunday outside the capital, Khartoum, killing 15 people and injuring seven others.
A spokesman, Al-Sawarmi Khalid told state media the crew of the Antonov 12 transport plane reported engine trouble before it went down in a rural area. He said the plane heading toward the town of El Fasher.
The crash is under investigation.
Government forces have been battling an insurgency in Darfur since 2003.