Although Draghi's comments yesterday triggered a sell-off, he made it clear that ECB would only take action if the euro went higher. The weekly chart still looks very bullish with that long engulfing candle last week, and it is above the 2008 major trend-line. On the daily chart too, yesterday's gap-down looks more like a pull-back rather than a reversal. There is a possibility the EUR/USD will start to turn around, particularly with Janet Yellen speaking later today and her propensity for doveish messages.
The 50% fib retrace level at 1.3788 is one possible support level where it may rotate, although I would want to see a break above the 1.3833 highs for confirmation (targeting gap highs at 1.3880). The very short-term trend is still down technically speaking, however, and so expected to extend, with a break below 1.3779 probably ushering in a move down to the 50-day MA at 1.3760 followed by capitulation to 1.3660.