Venerable Pius XII allowed a new translation of the Psalter from Hebrew in 1942. This is the so called Pius XII or Bea psalter. The psalm distribution is the same as that of St Pius X, but the text is different.
For the Original poster:
Any volume of a Roman Breviary includes the full psalter, most of them use the Clementine Vulgata Psalter. Those printed between 191(?) and 1970 are according to the St Pius X psalter.
Beautiful bilingual pdf containing the full psalter is downloadable and printable for yourself from
stores.lulu.com/breviary The author is unable to get the approval from his bishop.
The Baronius should come out shortly with their bilingual Breviary
baroniuspress.com/index.php?wid=12
I doubt that there is separate psalter available in Latin or bilingual. There are diurnals in one volume, short breviaries usually vernacular only