Bangkok , Thailand ( CNN ) -- Thai Prime Minister Yingluck Shinawatra dismissed calls by protesters for her to step down by Tuesday , saying she is open to talks to resolve demonstrations against her government that turned violent over the weekend . Yingluck said in a televised news conference that it would be unconstitutional for her to step down and that the door was open for negotiations . The leader of the anti-government demonstrations , Suthep Thaugsuban , on Sunday urged the democratically elected Yingluck to resign , saying he was giving her two days to `` return power to the people unconditionally . '' He made the comments after a face-to-face meeting with the Prime Minister in the presence of military leaders . Suthep , a former deputy prime minister for the opposition Democrat Party , has called for power to be transferred to an unelected `` people 's council . '' But Yingluck , who survived a no confidence vote in Parliament last week , is refusing to budge despite weeks of protests in the streets of the capital , Bangkok . Monday evening , a Thai court issued an arrest warrant for Suthep on a charge of insurrection . Worst unrest in years . On Saturday , three people were killed and more than 60 wounded in clashes between protesters and Yingluck 's supporters -- the worst civil unrest in Thailand since a military crackdown on demonstrations in 2010 . On Sunday , police used tear gas to fend off demonstrators trying to force their way into the government headquarters . Many protestors had towels they soaked with water to hold over their mouths and eyes for the gas . Yingluck reiterated Monday that authorities would not use violence against protesters , but police appeared to be resorting to increasingly tough measures to keep demonstrators at bay . Lt. Gen. Paradon Patthanathabut said police at government headquarters had used rubber bullets in certain instances . The number of protesters in the area appeared lower than in recent days , but hardcore elements seemed to be among those who remained . Tear gas canisters , rocks and bottles of water were hurled back and forth across the barricades . The government headquarters , known as Government House , are a symbolic target for protesters . Amid the siege , Yingluck has decamped from the seat of government power to the police headquarters , said government spokesman Teerat Rattanasevi . Demonstrators , meanwhile , continued to occupy official buildings they had stormed last week -- the Ministry of Finance and another complex of government offices . But Suthep 's call for a civil servants to go on strike appeared not to have taken hold Monday . `` Governmental agencies are all functioning normally , '' said Teerat . `` But of course , some offices that have been taken over by these protesters have to work from their temporary setups . '' Thaksin 's influence . Protesters say they want to rid Thailand of the influence of exiled former Prime Minister Thaksin Shinawatra , the older brother of Yingluck . That 's an ambitious goal in a country where parties affiliated with Thaksin , who built his political success on populist policies that appealed to Thailand 's rural heartland , have won every election since 2001 . Thaksin was ousted in a military coup in 2006 , and has spent most of the time since then in exile overseas . If he returns , he risks a two-year prison sentence on a corruption conviction , which he says was politically motivated . The current protests in Bangkok were prompted by a botched attempt by Yingluck 's government to pass an amnesty bill that would have opened the door for her brother 's return . That move added fuel for critics who accuse Yingluck of being nothing more than Thaksin 's puppet , an allegation she has repeatedly denied . The military -- which removed Thaksin amid protests in 2006 -- has remained on the sidelines of the current crisis . Yingluck said Monday that she believes the military is taking a neutral stance . Chaos and commerce . Although the demonstrations have brought chaos to certain pockets of Bangkok and prompted warnings from foreign embassies to avoid protest areas , everyday life has continued in much of the city . Some street traders have even adapted to service protesters needs . On Sunday , many people down the street from the barricades near Government House , just out of reach of the tear gas , were cooking by the side of the road . Others were driving through with pick-up trucks giving food to protestors . One enterprising vendor rode through the protest area selling ice creams in between volleys of tear gas . 10 questions : What 's behind the protests in Thailand ? Leading Women : Thailand 's first female PM Yingluck Shinawatra . CNN 's Kocha Olarn and Paula Hancocks reported from Bangkok ; Jethro Mullen reported and wrote from Hong Kong .
NEW : Thai Police issues an arrest warrant for Suthep on a charge of insurrection . Yingluck Shinawatra says the door is open for him . The protest leader on Sunday urged Yingluck to step down .