WASHINGTON—President Trump on Thursday targeted another major law firm with an executive order, going after WilmerHale over its ties to former special counsel Robert Mueller.It is the latest in a wave of moves against elite law firms connected to individuals perceived as political enemies by the president.

The discussions come as President Trump has taken aim at Wilmer Hale, another big law firm. Other major firms are said to be trying to cut deals with the White House.

President Donald Trump signed an executive order Thursday directing agencies to suspend the security clearances and access to federal buildings of lawyers from the law firm Wilmer Hale.