J2 Global just won’t quit.

The Hollywood Internet software and service company has again extended its offer to buy cloud storage firm Carbonite for $415 million.

The offer, for $15 a share, was set to expire Thursday but has been extended another month to March 30.

J2 said it has been in discussions with the Boston company to participate in a previously announced potential sale process. Carbonite Chief Executive Mohamad Ali said in a Jan. 9 Securities and Exchange filing that his company would search for strategic alternatives to J2’s offer.

This is now J2’s third attempt to close a second bid to buy Carbonite. J2 offered to acquire Carbonite in 2012 for $10.50 a share. After the deal was rejected, J2 went on to become a minor owner, purchasing more than 9 percent of Carbonite’s shares.

J2 has announced three other acquisitions in the time since its last Carbonite offer was extended.

Staff reporter Melissah Yang can be reached at [email protected]. Follow her on Twitter @MelissahYang for the latest in L.A. tech news.