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We study the quadratic integral points-that is, (S-)integral points definedover any extension of degree two of the base field-on a curve defined in P_3 bya system of two Pell equations. Such points belong to three families explicitlydescribed, or belong to a finite set whose cardinality may be explicitlybounded in terms of the base field, the equations defining the curve and theset S. We exploit the peculiar geometry of the curve to adapt the proof of atheorem of Vojta, which in this case does not apply.

Quadratic integral solutions to double Pell equations