The best hits at Coglia included 28m grading 0.12% cobalt and 0.53% nickel and 31m at 0.11% cobalt and 0.68% nickel.
Further assays are awaited ahead of metallurgical work.
White Cliff had hoped to first drill Coronation Dam, south of GME Resources' Mt Kilkenny and Eucalyptus Bore resources, but was stymied by recent rains preventing access.
Coronation Dam features previous intercepts of 16m at 0.42% cobalt and 0.1% nickel, and 10m at 0.46% cobalt and 1.2% nickel.
The project is 90km from Murrin Murrin and 45km from the proposed GME Resources development at Mt Kilkenny.
Glencore's Murrin Murrin has resources at Murrin East of 66 million tonnes grading 1.1% nickel and 0.09% cobalt.
White Cliff's potential strategies include selling cobalt-rich ore to Glencore or GME Resources, and using the funds to look at developing one of its three projects - Coronation Dam, Coglia Well and Ghan Well - in its own right.
While Glencore has a potential for being strong negotiations, the potential margins at play could still ensure a lucrative venture for White Cliff if a deal could be struck.
Another option promoted by White Cliff could be co-developing a project with GME, whose plus-100Mt of resources grade 0.06% cobalt.
All three projects lie inside the Kalgoorlie, Leonora and Laverton triangle of WA's Eastern Goldfields.
White Cliffs recently raised A$1.65 million by issuing new shares at 0.3c each.
Shares in the company were unchanged at 0.4c in morning trade, capitalising the company at $15.4 million.
More advanced juniors GME and Ardea Resources are capitalised at $65 million and $93 million respectively.