The draft budget, of around 1 trillion euros, will be tabled on Thursday evening after EU leaders gather for talks.
EU member states which are largest payers into the budget want spending to be cut. Meanwhile poorer members, including Lithuania, are against drastic cuts that would reduce EU aid. Some countries have already threatened to veto the budget if they were not satisfied with proposed conditions.
"Since an EU budget is adopted unanimously, all member states have the instrument," Grybauskaitė told reporters on Wednesday.
According to the president, agricultural aid, aid from structural funds and funding of the closure of Ignalina nuclear power plants are three positions important for Lithuania during the budget talks. The most important task, the president says, is to seek a comprehensive beneficial financial package for the country.
EU aid makes around a quarter of Lithuania's budget. And half of that is made of funds from structural funds, with the remaining part being support for the agriculture sector.
The Baltic states have on numerous occasions spoken against proposals to cap EU structural funding by pegging it to the countries' GDP. Lithuania, Latvia, and Estonia have underlined that they should not be punished for painful austerity measures they took to deal with the recession and saw their GDP plummet in 2009.
Based on a draft proposal submitted last week, member states whose economy contracted more than 1 percent in 2008-2010 would see their EU aid ceiling increased by an asyet unidentified number, compared to the general rule stating that EU support cannot exceed 2.4 percent of GDP. The Baltic states and Hungary would fall into this category.
The Lithuanian president also plans to raise the issue of the funding of Ignalina's closure. Based on a recent proposal, Lithuania would get EUR 210 million for Ignalina's closure-related projects for 2014-2017. More than increasing the sum, what concerns Lithuania is that the 2017 deadline be dropped so it is able to ask for additional EU funding beyond the date.