Aspergillales as·per·gil·lales uncommon noun 1. order of fungi having a closed ascocarp (cleistothecium) with the asci scattered rather than gathered in a hymenium SynonymsEurotialesorder Eurotialesorder Aspergillales Related words Broader terms fungus order Parts Plectomycetes Part of EurotiumAspergillaceae WordNet 2.1 (Princeton University). WordNet 2.1 Copyright Princeton University. All rights reserved.