  We consider Double Quintessence models for which the Dark Energy sector
consists of two coupled scalar fields. We study in particular the possibility
to have a transient acceleration in these models. In both Double Quintessence
models studied here, it is shown that if acceleration occurs, it is necessarily
transient. We consider also the possibility to have transient acceleration in
two one-field models, the Albrecht-Skordis model and the pure exponential.
Using separate conservative constraints (marginalizing over the other
parameters) on the effective equation of state $w_{eff}$, the relative density
of the Dark Energy $\Omega_{Q,0}$ and the present age of the universe, we
construct scenarios with a transient acceleration that has already ended at the
present time, and even with no acceleration at all, but a less conservative
analysis using the CMB data rules out the last possibility. The scenario with a
transient acceleration ended by today, can be implemented for the range of
cosmological parameters $\Omega_{m,0}\gtrsim 0.35$ and $h\lesssim 0.68$.
