We calculate the total cross-section for gamma*gamma* collisions and for th
e process e(+)e(-)-->e(+)e(-)+ hadrons with two tagged leptons assuming dom
inance of the QCD pomeron exchange. We solve the BFKL equation including th
e dominant subleading effects generated by the consistency constraint which
restricts the available phase-space of the emitted gluons to the region in
which the virtuality of the exchanged gluons is dominated by their transve
rse momentum squared. Estimate of the possible soft pomeron contribution to
the gamma*y* cross-section is also presented. At very high CM energies W t
he calculated total gamma*gamma* cross-section exhibits effective power-law
(W-2)(lambda) behaviour with lambda similar to 0.3. We confront our result
s with the recent measurements at LEP and give predictions for the energies
which can be accessible at TESLA and at other future linear e(+)e(-) colli
ders. (C) 1999 Published by Elsevier Science B.V. All rights reserved.