The European Union as a whole (i.e., the Member States and the Commission) is one of the world's main humanitarian aid donors; the Humanitarian Aid department (ECHO) is the service of the European Commission responsible for this activity.
DG ECHO, like all other Commission departments, is accountable to the Parliament and the Council, notably through annual reports detailing its activities. Its budget management is also subject to ongoing auditing by the Court of Auditors, which reports to Parliament and the Council. Every year, Parliament and Council are invited to give their opinion on the discharge of past budgets.

Opportunities:

Call for Tenders: http://ec.europa.eu/echo/funding/opportunities/tender_en.htm

Call for Proposals: http://ec.europa.eu/echo/funding/opportunities/proposals_en.htm

Call for Expression of Interest: http://ec.europa.eu/echo/funding/opportunities/interest_en.htm

Others Calls: http://ec.europa.eu/echo/funding/opportunities/other_en.htm