Uzbekistan's capital Tashkent has been floated as a potential location for a meeting between Afghanistan's government and the Taliban.
After less than a year in office Mirziyoyev has called for dropping entry and exit visas.
The businessman jailed by the late Islam Karimov calls on his successor to introduce reforms.
Islam Karimov passed away after nearly three decades in power.
Shavkat Mirziyoyev declared his country will remain neutral, unlike neighbours.
Since the Soviet collapse Uzbekistan has had no leader besides strongman Islam Karimov.
The flight was traveling from Cairo to Beijing when it had to divert due to security fears.
The 63-year-old former MP served more than double his original sentence.
Gulnara Karimova has been stuck in her mansion since February over allegations that run the gamut from corruption to black magic. Oh, and her dad's the president.