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Deuterium is especially suited for these studies: its primordial abundance is sensitive and monotonically dependent on $\\eta _{10}$, allowing an independent measurement of the cosmic baryon density that can be compared, for instance, against the Planck satellite data. The primordial deuterium abundance can be measured in high H\u2009i column density absorption systems towards distant quasars. We report here a new measurement, based on high-resolution ESPRESSO data, of the primordial D\u2009i abundance of a system at redshift $z \\sim 3.572$, towards PKS1937-101. Using only ESPRESSO data, we find a D\u2009\/H ratio of $2.638\\pm 10^{-5}$, while including the available UVES data improves the precision, leading to a ratio of $2.608 \\pm 10^{-5}$. The results of this analysis agree with those of the most precise existing measurements. 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