This work aims to clone the genomic region of the sunflower genome that may carry the Pervenets mutation causing high oleic content of seed oil. We previously reported that the oleHOS allele at the oleate-desaturase locus (oleHL) carries or is genetically closely linked to Pervenets mutation. We pointed out that the fragments that border the 5.8 kb EcoRI fragments carry the Pervenets mutation. The oleHOS reference physical map was constructed. It displays a common part made of the 5.8 kb EcoRI fragment, also present in oleLOR allele, and a specific region with the 7.9 kb EcoRI fragment, also carrying oleate-desaturase sequences. A genomic library was constructed in λfixII with an average insert size of 15 kb. Two millions clones were screened enabling to isolate clones from Group I, which were entirely sequenced and revealed carrying a gene for an oleate probably located in the RE. This corresponds to the invariant part of the oleHL locus. Two clones of Group II (11.1, 27.1) are overlapping but 11.1 is characterized by new specific restriction fragments and instability leading to a smear when probed with the oleate cDNA. Consequently, 11.1 sequence probably carries oleate repeated sequences that cause instability of the clone. The clone 11.1 is a good candidate to carry a part of the specific oleHOS allele, but due to its organization in repeats it is not yet sequenced. This organization leads to speculate on the mechanisms that could disturb oleate function in Pervenets [HOAC] genotypes.