The EUR/USD chart currently shows bearish momentum within a descending channel. There's potential for a bearish move towards the 1st support at 1.0667, a significant level with multiple factors including a swing low support, the 161.80% Fibonacci Extension, and the -61.8% Fibonacci Expansion, indicating strong support.
Regarding resistance, the 1st resistance at 1.0741 is a pullback resistance, and the 2nd resistance at 1.0773 serves a similar role. These levels might impede any bullish advances.