Colossal Magnetoresistive (CMR) La0.7Sr0.3MnO3 (LSMO) thin films have been deposited by laser ablation on pseudo-cubic LaAlO3 (001) substrates. The ferromagnetic state of these films at room temperature has been evidenced by SQUID measurements. Depending on the growth conditions (mostly the synthesis temperature), out-of-plane parameters varying from of 3.919 Angstrom or 4.002 Angstrom are measured on the X-Ray diffraction (XRD) patterns. Using Magnetic Force Microscopy (MFM), black and white contrasts characteristics of films with an out-of-plane magnetization are imaged. However, depending on the out-of-plane parameter, two out-of-plane magnetic patterns are showed. On samples with the out-of-plane parameter of 3.919 Angstrom, a "maze-like - bubble" pattern is imaged while on samples with a larger out-of-plane value of 4.002 Angstrom, large domains with a diameter of about 5 mum are evidenced. We conclude that the magnetic microstructure of LSMO films deposited on LaAlO3 substrates is strongly influenced by the growth conditions and that the magnetic domains shape can be correlate to the out-of-plane parameter of the film.