"narrow the difference" is a correct and usable phrase in written English.
You can use it when talking about making two opposing things (such as points of view, stances on an issue, types of people, etc.) come to a closer agreement. For example: "The two political leaders met to attempt to narrow the difference in their opinions on the proposed legislation."
Customer limit orders also narrow the difference between the prices at which a dealer will buy and sell a stock, known as the spread, driving down investor costs.
Supporters said adopting the decimal system would narrow the difference between a stock's best bid and asking prices, known as the spread.
We need universal provision of high quality childcare that is affordable for all, and to narrow the difference between the top-to-bottom earnings and rebuild the link between economic prosperity and wages.
"While we are pleased to see that the gap between boys and girls is continuing to narrow, the difference in outcomes remains significant and so clearly there is more work to be done to tackle this trend".
Before the summit meeting in Chicago, the two sides appeared to narrow the difference, with Pakistan asking for $3,000 and the United States offering to pay up to $1,000.
First, Harvard will switch from an idiosyncratic 15-point grading scale to the more conventional scale in which a 4.0 is an A and a zero is an F. The change will narrow the difference between an A-minus and a B-plus, which the faculty hopes will make a B more palatable.
Microsoft said in a statement on Friday that it wanted to "narrow the differences" with its opponents.
In 1985, he was appointed to a "peace committee" intended to narrow the differences between the two factions of Southern Baptists.
Mr. Clinton is right to try to narrow the differences so that direct talks between Israel and Syria can resume within the next few weeks.
But the two sides "failed to narrow the differences over the agenda for a high-level meeting," said Kim Min-seok, a spokesman for the South Korean Defense Ministry.
Under the best of circumstances it might have been possible, with the help of President Clinton, to continue to narrow the differences over the coming months, arriving at a compromise that both sides could -- if reluctantly -- have accepted.
