Notwithstanding the provisions of Section 337.5 of this code actions may be brought on bonds or coupons as set forth in subsection 2 of said section, against which the statute of limitations ran on or after August 27, 1937; provided, such actions are brought on or before June 30, 1959. Upon presentation for payment they shall be registered and payment shall not be made thereon until the next fiscal year following presentation unless available funds are sufficient to first pay obligations which are due or will become due from the same fund during the fiscal year of presentation and during the next succeeding six months. Interest shall not be paid on bonds or coupons registered for the purpose of this section.