Del. Code Ann. tit. 6, § 2504D
(a) Applicability of section. — This section applies to any civil action or proceeding, including any child custody proceeding, in which the plaintiff or defendant at the time of filing an application under this section:
(b) Stay of proceedings. — (1) Authority for stay. — At any stage before final judgment in a civil action or proceeding in which a servicemember described in subsection (a) of this section is a party, the court may on its own motion and shall, upon application by the servicemember, stay the action for a period of not less than 90 days, if the conditions in paragraph (b)(2) of this section are met.
(2) Conditions for stay. — An application for a stay under paragraph (b)(1) of this section shall include the following:
(d) Additional stay. — (1) Application. — A servicemember who is granted a stay of a civil action or proceeding under subsection (b) of this section may apply for an additional stay based on continuing material affect of military duty on the servicemember’s ability to appear. Such an application may be made by the servicemember at the time of the initial application under subsection (b) of this section or when it appears that the servicemember is unavailable to prosecute or defend the action. The same information required under paragraph (b)(2) of this section shall be included in an application under this subsection.