The dollar index is 79.84 (Friday Closing). It was 78.xx at our closing time (5pm IST) on Wednesday. That alone will make the dollar expensive. Then there is this sudden loss of confidence in the Euro, so dollar as a safer haven buying will emerge. Unless, of course, the dollar index falls to below 79 before our markets open, or the RBI intervenes early on Monday. Usually the RBI intervention comes in the last hour of trading (4-5pm).
Another thing, nothing scientific about this one, is that during the last few moments of trading on Wednesday, the dollar went up by about 15 paisa, crossing from below its ATP of the day to about 12 paisa above it (went up from 51.29xx to 51.45xx - the ATP was 51.32xx). Difficult for me to explain this, but generally a sudden movement in the last moments portends continuation on the opening of the next day (my observation).