The 76-year-old victim, who suffers from mobility problems, was at home alone in Batley watching television when she heard her front door open.
She called out thinking it was a family member, but after no-one answered her made her way to the door.
Due to her mobility issues it was a few minutes before she got to the hallway, where she saw her front door wide open and a one man walking down the stairs and another at the door.
The pensioner confronted them and they told her they were looking for their grandmother, apologise and leave through the front door and get into a black Peugeot 307.
After checking upstairs, she smelt smoke and discovered her jewellery box hadbeen stolen. Items taken include 18" gold chain with a double sided Egyptian Nefertiti head, silver chain necklace with a ruby stone, a pair of gold earrings, two watches one gold with a metal strap and the other with a brown leather strap and a gold face.
The incident took place on March 24 between 230pm and 2.45pm on Victoria Avenue, in Batley.
The first suspect is pictured in the e-fit, is described as male, in his early 20s, 5ft 5 inches tall, of medium build, Eastern European, short dark hair and has facial stubble. He was wearing a dark coloured zip-up jacket with a washed out and look, grey top underneath and grey jogging bottoms.
The second male suspect is also described as Eastern European, in his mid 20s, medium build, 5ft 6 inches with dark short hair.
PC Tracy Boucher of Huddersfield CID, said: "We are hoping to trace these suspects who broke into this elderly lady's home and stole a number of items of jewellery.
"This was an upsetting ordeal for the victim, as she lives alone and they invaded her home.
"Anyone with any information about the stolen items, saw anything suspicious in the area or recognise the image in the E-Fit is asked to contact myself via 101 quoting reference 13160128718."