We utilize the global full-F gyrokinetic code GYSELA to analyze the nonlocal transport in the presence of modulated heat source, the period of which is in the range of a transport timescale. In submarginal stable case, it is observed that a localized and time-modulated heat source can trigger both diffusive and avalanche-like transport. When heat source-stimulated nonlocal transport occurs, propagation of turbulence is faster than that of heat pulse. In addition, the propagation speed is correlated with both turbulence intensity and period of modulated source. This correlation is also identified from the analytic expression derived from two-field critical gradient model.