  We critically revise the recent claims of narrow deeply bound kaonic states
and show that at present there is no convincing experimental evidence for their
existence. In particular, we discuss in details the claim of K- pp deeply bound
state associated to a peak seen in the Lambda p invariant mass spectrum from K-
nuclear absorption reactions by the FINUDA collaboration. An explicit
theoretical simulation shows that the peak is simply generated from a
two-nucleon absorption process, like K- pp --> Lambda p, followed by
final-state interactions of the produced particles with the residual nucleus.
