your fungi are purified? if yes you can firstly begin by DNA EXTRACTION. After that you can amplided some gene such as ribosomal 18s. PCR product should be sequenced
The best way to identify your fungi down to species level is of course to clone & sequence the full length 18S rDNA; for this I normally use the primers given in Medlin et al, 1988.
THE CHARACTERIZATION OF ENZYMATICALLY AMPLIFIED EUKARYOTIC 16S-LIKE RRNA-CODING REGIONS
This will though most likely require cloning and the additional use of internal primers to get a full-length, double-stranded sequence.
If you think that a shorter part of the 18S might be sufficient for the identification, then the discussion is open about which variable region to choose, i.e. V3, V4, V6 or V9. For each region possible primer pairs exist, but which one might give the best results for your particular taxa I don´t know.
Have a look at the paper of Wang et al (2014) which suggest a number of primers and also lists plenty of references with more universal primer pairs for eukaryotes.
Wang Y, Tian RM, Gao ZM, Bougouffa S, Qian P-Y (2014) Optimal Eukaryotic 18S and Universal 16S/18S Ribosomal RNA Primers and Their Application in a Study of Symbiosis. PLoS ONE 9(3): e90053. doi:10.1371/journal.pone.0090053