The phrase "attempts of both" is correct and usable in written English.
It can be used when discussing the efforts or endeavors made by two parties or individuals in a particular context.
Example: "The attempts of both teams to collaborate on the project were commendable, but ultimately they faced several challenges."
Alternatives: "efforts of both" or "endeavors of both".
She understands the white master and his cruelties, she understands the slave in her misery, and she understands the thwarted attempts of both to recapture their humanity.
"Obama's Views on Abortion May Divide Catholics" (news article, Aug. 7) depicts the attempts of both Senators John McCain and Barack Obama to reach Catholic voters through (or in spite of) their policies around abortion.
Using live performance and film footage, Major Tom follows the attempts of both dog and owner to prove their beauty: Major in championship dog shows, Melody in national beauty pageants.
Even as the death toll has dropped in Homs in recent days, the sectarian strife seems to have gathered a relentless momentum that has defied the attempts of both Sunni and Alawite residents to stanch it.
He doomed the attempts of both to failure, however, by forcing each to construct an all party ministry at a time when neither party wished to share power with the other.
An independent t-test was conducted (colour condition red vs. blue) of the first attempts of both the local and global task (N = 15).
In achiasmatic bel, the attempt of both postural control and the OKR to reduce the retinal slip ironically contributes to maintaining a high retinal slip.
The airway sealing pressure at 60cmH2O cuff pressure was significantly greater in G-LMA than P-LMA (p = 0.04).The first successful attempt of both groups were comparable (p = 1.000).
DL was otherwise performed as described by Dooley and colleagues with the modification that lavage was attempted of both nipple aspirate fluid-yielding and non fluid-yielding ducts [ 5].
Besides, PCR amplification was also performed on the edge of HGT fragments on genome contigs for the attempts of amplify both HGT region and eukaryotic portion of the genome.
Part of this struggle related to attempts on both sides of the primary secondary interface to 'hold on' to patients.
