Electrostatic, short-wavelength ( k theta rho s > 1, with rho (s) being the ion sound Larmor radius) micro-turbulence, which is present at the plasma edge due to its intrinsic immunity to equilibrium ExB shear suppression, can drive global, axisymmetric [ n = 0 , m = +/- 1, with n(m) being the toroidal (poloidal) mode number] Alfven eigenmode (GAE) with the inertial layer located at the plasma edge, i.e., in the turbulent zone. The excitation mechanism is the modulation instability induced by turbulent Reynolds stress. The growth rate of this instability can overcome GAE continuum damping.