The manager has a few selection issues to contend for the Group A opener at Tynecastle as Liam Boyce and Michael Smith are away on international duty, and Peter Haring and Andy Halliday unlikely to be fit enough for selection.
Ccould this be the starting XI Neilson will go with for his first match back in charge?
1. Craig Gordon
The goalkeeper will make his first competitive appearance of his second spell at the club Photo: Craig Foy - SNS Group
2. Jamie Brandon
The right back is in line to make his 30th first team appearance Photo: Mark Scates - SNS Group
3. Mihai Popescu
The former St Mirren centre-half is in line to make his Hearts debut tonight Photo: Mark Scates - SNS Group
4. Craig Halkett
The former Livingston centre-back will captain the side in Steven Naismith's absence. Photo: Craig Foy - SNS Group