LONDON — US Secretary of State John Kerry said his country understands the challenges that Saudi Arabia and other countries in the region feel about interference in their internal affairs, In his talks with Saudi Foreign Minister Adel Al-Jubeir, Kerry insisted Thursday that the US and Saudi ties remain strong despite recent tensions over Washington’s outreach to Iran. The top envoys met in London for talks on a variety of Middle East issues, including the wars in Syria and Yemen and the imminent implementation of the Iran nuclear deal. Washington has used the deal, under which Tehran agreed to limit its nuclear ambitions in exchange for a softening on sanctions, as a springboard to seek more productive ties with its old foe. But at the same time Riyadh’s relations with Iran, long hostile, have plunged to new lows. Saudi Arabia cut off diplomatic contact with Tehran last week after an Iranian mob ransacked its embassy there. Saudi Arabia has regarded Kerry’s cautious outreach to Tehran — and burgeoning relationship with its Foreign Minister Mohammad Javad Zarif — with suspicion, and the London visit was designed to rebuild trust, according to Saudi Gazette.