The two countries will likely negotiate toward resolving the crisis.

Literal

Both-countries [topic-は] crisis-resolution [toward-に向けて] negotiations [object-を] will-do [conjecture-でしょう].

に向けて (toward/aimed at) marks the goal. 危機解決 (crisis resolution) is a compound. でしょう (probably/likely) is the polite conjectural — softer than だろう.